93472133904 has 480 divisors, whose sum is σ = 285607969920. Its totient is φ = 28490342400.

The previous prime is 93472133903. The next prime is 93472133941. The reversal of 93472133904 is 40933127439.

93472133904 is a `hidden beast` number, since 9 + 3 + 47 + 213 + 390 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 93472133904.

It is not an unprimeable number, because it can be changed into a prime (93472133903) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1126170247 + ... + 1126170329.

It is an arithmetic number, because the mean of its divisors is an integer number (595016604).

Almost surely, 2^93472133904 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 93472133904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142803984960).

93472133904 is an abundant number, since it is smaller than the sum of its proper divisors (192135836016).

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

93472133904 is a wasteful number, since it uses less digits than its factorization.

93472133904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 93472133904 in words is "ninety-three billion, four hundred seventy-two million, one hundred thirty-three thousand, nine hundred four".