93512474952 has 256 divisors, whose sum is σ = 275353344000. Its totient is φ = 26214451200.

The previous prime is 93512474899. The next prime is 93512475011. The reversal of 93512474952 is 25947421539.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 93512474895 and 93512474904.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17253699 + ... + 17259117.

It is an arithmetic number, because the mean of its divisors is an integer number (1075599000).

Almost surely, 2^93512474952 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 93512474952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137676672000).

93512474952 is an abundant number, since it is smaller than the sum of its proper divisors (181840869048).

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

93512474952 is a wasteful number, since it uses less digits than its factorization.

93512474952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5572 (or 5568 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 51.

The spelling of 93512474952 in words is "ninety-three billion, five hundred twelve million, four hundred seventy-four thousand, nine hundred fifty-two".