38455166565504 has 320 divisors, whose sum is σ = 123269737631040. Its totient is φ = 11830001301504.

The previous prime is 38455166565469. The next prime is 38455166565509. The reversal of 38455166565504 is 40556566155483.

38455166565504 is a `hidden beast` number, since 3 + 8 + 4 + 5 + 5 + 1 + 6 + 65 + 65 + 504 = 666.

It is not an unprimeable number, because it can be changed into a prime (38455166565509) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 749777749 + ... + 749829035.

It is an arithmetic number, because the mean of its divisors is an integer number (385217930097).

Almost surely, 2^{38455166565504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38455166565504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61634868815520).

38455166565504 is an abundant number, since it is smaller than the sum of its proper divisors (84814571065536).

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

38455166565504 is a wasteful number, since it uses less digits than its factorization.

38455166565504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56889 (or 56868 counting only the distinct ones).

The product of its (nonzero) digits is 259200000, while the sum is 63.

The spelling of 38455166565504 in words is "thirty-eight trillion, four hundred fifty-five billion, one hundred sixty-six million, five hundred sixty-five thousand, five hundred four".