93316104476352 has 1344 divisors, whose sum is σ = 313109076234240. Its totient is φ = 26375395737600.

The previous prime is 93316104476339. The next prime is 93316104476449. The reversal of 93316104476352 is 25367440161339.

93316104476352 is a `hidden beast` number, since 9 + 3 + 3 + 16 + 104 + 476 + 3 + 52 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 85376124318 + ... + 85376125410.

Almost surely, 2^{93316104476352} 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 93316104476352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156554538117120).

93316104476352 is an abundant number, since it is smaller than the sum of its proper divisors (219792971757888).

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

93316104476352 is a wasteful number, since it uses less digits than its factorization.

93316104476352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 93316104476352 in words is "ninety-three trillion, three hundred sixteen billion, one hundred four million, four hundred seventy-six thousand, three hundred fifty-two".