8938274709456 has 480 divisors, whose sum is σ = 27131817024000. Its totient is φ = 2738004221952.

The previous prime is 8938274709367. The next prime is 8938274709473. The reversal of 8938274709456 is 6549074728398.

8938274709456 is a `hidden beast` number, since 8 + 9 + 38 + 2 + 74 + 70 + 9 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8059760230 + ... + 8059761338.

It is an arithmetic number, because the mean of its divisors is an integer number (56524618800).

Almost surely, 2^{8938274709456} 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 8938274709456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13565908512000).

8938274709456 is an abundant number, since it is smaller than the sum of its proper divisors (18193542314544).

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

8938274709456 is a wasteful number, since it uses less digits than its factorization.

8938274709456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 8938274709456 in words is "eight trillion, nine hundred thirty-eight billion, two hundred seventy-four million, seven hundred nine thousand, four hundred fifty-six".