93412306944 has 416 divisors, whose sum is σ = 311766497280. Its totient is φ = 27382579200.

The previous prime is 93412306943. The next prime is 93412306961. The reversal of 93412306944 is 44960321439.

It is a self number, because there is not a number n which added to its sum of digits gives 93412306944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93412306943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37710634 + ... + 37713110.

Almost surely, 2^93412306944 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 93412306944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155883248640).

93412306944 is an abundant number, since it is smaller than the sum of its proper divisors (218354190336).

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

93412306944 is a wasteful number, since it uses less digits than its factorization.

93412306944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2552 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 93412306944 in words is "ninety-three billion, four hundred twelve million, three hundred six thousand, nine hundred forty-four".