38401354658656 has 96 divisors (see below), whose sum is σ = 83201209233408. Its totient is φ = 17301852771840.

The previous prime is 38401354658549. The next prime is 38401354658707. The reversal of 38401354658656 is 65685645310483.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48468511 + ... + 49254433.

It is an arithmetic number, because the mean of its divisors is an integer number (866679262848).

Almost surely, 2^{38401354658656} 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 38401354658656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41600604616704).

38401354658656 is an abundant number, since it is smaller than the sum of its proper divisors (44799854574752).

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

38401354658656 is a wasteful number, since it uses less digits than its factorization.

38401354658656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787164 (or 787156 counting only the distinct ones).

The product of its (nonzero) digits is 248832000, while the sum is 64.

The spelling of 38401354658656 in words is "thirty-eight trillion, four hundred one billion, three hundred fifty-four million, six hundred fifty-eight thousand, six hundred fifty-six".