38646565504 has 64 divisors (see below), whose sum is σ = 78414972480. Its totient is φ = 18968320000.

The previous prime is 38646565501. The next prime is 38646565541. The reversal of 38646565504 is 40556564683.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (38646565501) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2108379 + ... + 2126629.

It is an arithmetic number, because the mean of its divisors is an integer number (1225233945).

Almost surely, 2^38646565504 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 38646565504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39207486240).

38646565504 is an abundant number, since it is smaller than the sum of its proper divisors (39768406976).

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

38646565504 is a wasteful number, since it uses less digits than its factorization.

38646565504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18569 (or 18557 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 52.

The spelling of 38646565504 in words is "thirty-eight billion, six hundred forty-six million, five hundred sixty-five thousand, five hundred four".