38224775377152 has 1152 divisors, whose sum is σ = 155060443238400. Its totient is φ = 8988815130624.

The previous prime is 38224775377123. The next prime is 38224775377189. The reversal of 38224775377152 is 25177357742283.

38224775377152 is a `hidden beast` number, since 3 + 8 + 2 + 2 + 47 + 7 + 537 + 7 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×38224775377152² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 38224775377152.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 203070343 + ... + 203258489.

It is an arithmetic number, because the mean of its divisors is an integer number (134601079200).

Almost surely, 2^{38224775377152} is an apocalyptic number.

38224775377152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38224775377152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77530221619200).

38224775377152 is an abundant number, since it is smaller than the sum of its proper divisors (116835667861248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38224775377152 is a wasteful number, since it uses less digits than its factorization.

38224775377152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188228 (or 188208 counting only the distinct ones).

The product of its digits is 138297600, while the sum is 63.

The spelling of 38224775377152 in words is "thirty-eight trillion, two hundred twenty-four billion, seven hundred seventy-five million, three hundred seventy-seven thousand, one hundred fifty-two".