38016478704864 has 192 divisors, whose sum is σ = 114661740533760. Its totient is φ = 10907477521920.

The previous prime is 38016478704829. The next prime is 38016478704899. The reversal of 38016478704864 is 46840787461083.

It is an interprime number because it is at equal distance from previous prime (38016478704829) and next prime (38016478704899).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 38016478704795 and 38016478704804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34020429 + ... + 35120115.

It is an arithmetic number, because the mean of its divisors is an integer number (597196565280).

Almost surely, 2^{38016478704864} 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 38016478704864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57330870266880).

38016478704864 is an abundant number, since it is smaller than the sum of its proper divisors (76645261828896).

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

38016478704864 is a wasteful number, since it uses less digits than its factorization.

38016478704864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101453 (or 1101445 counting only the distinct ones).

The product of its (nonzero) digits is 173408256, while the sum is 66.

The spelling of 38016478704864 in words is "thirty-eight trillion, sixteen billion, four hundred seventy-eight million, seven hundred four thousand, eight hundred sixty-four".