93031200864 has 324 divisors, whose sum is σ = 319606196364. Its totient is φ = 26577403776.

The previous prime is 93031200859. The next prime is 93031200919. The reversal of 93031200864 is 46800213039.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10283127 + ... + 10292169.

Almost surely, 2^93031200864 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 93031200864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159803098182).

93031200864 is an abundant number, since it is smaller than the sum of its proper divisors (226574995500).

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

93031200864 is an frugal number, since it uses more digits than its factorization.

93031200864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9091 (or 9055 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 93031200864 in words is "ninety-three billion, thirty-one million, two hundred thousand, eight hundred sixty-four".