93724912512 has 256 divisors, whose sum is σ = 344876198400. Its totient is φ = 24344064000.

The previous prime is 93724912483. The next prime is 93724912543. The reversal of 93724912512 is 21521942739.

93724912512 is a `hidden beast` number, since 93 + 7 + 2 + 49 + 1 + 2 + 512 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90012 + ... + 442212.

It is an arithmetic number, because the mean of its divisors is an integer number (1347172650).

Almost surely, 2^93724912512 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 93724912512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172438099200).

93724912512 is an abundant number, since it is smaller than the sum of its proper divisors (251151285888).

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

93724912512 is a wasteful number, since it uses less digits than its factorization.

93724912512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352242 (or 352224 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 93724912512 in words is "ninety-three billion, seven hundred twenty-four million, nine hundred twelve thousand, five hundred twelve".