38823390144 has 1008 divisors, whose sum is σ = 153799446528. Its totient is φ = 9123840000.

The previous prime is 38823390143. The next prime is 38823390173. The reversal of 38823390144 is 44109332883.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a self number, because there is not a number n which added to its sum of digits gives 38823390144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38823390143) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 257108469 + ... + 257108619.

It is an arithmetic number, because the mean of its divisors is an integer number (152578816).

Almost surely, 2^38823390144 is an apocalyptic number.

38823390144 is a gapful number since it is divisible by the number (34) 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 38823390144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76899723264).

38823390144 is an abundant number, since it is smaller than the sum of its proper divisors (114976056384).

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

38823390144 is a wasteful number, since it uses less digits than its factorization.

38823390144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 38823390144 in words is "thirty-eight billion, eight hundred twenty-three million, three hundred ninety thousand, one hundred forty-four".