38253336192 has 192 divisors, whose sum is σ = 113430362760. Its totient is φ = 12368609280.

The previous prime is 38253336179. The next prime is 38253336217. The reversal of 38253336192 is 29163335283.

38253336192 is a `hidden beast` number, since 3 + 8 + 25 + 3 + 3 + 3 + 619 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19989435456 + 18263900736 = 141384^2 + 135144^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5126128 + ... + 5133584.

Almost surely, 2^38253336192 is an apocalyptic number.

38253336192 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 38253336192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56715181380).

38253336192 is an abundant number, since it is smaller than the sum of its proper divisors (75177026568).

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

38253336192 is a wasteful number, since it uses less digits than its factorization.

38253336192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7611 (or 7596 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

Subtracting from 38253336192 its reverse (29163335283), we obtain a palindrome (9090000909).

The spelling of 38253336192 in words is "thirty-eight billion, two hundred fifty-three million, three hundred thirty-six thousand, one hundred ninety-two".