93120443316 has 192 divisors, whose sum is σ = 262686412800. Its totient is φ = 28431585792.

The previous prime is 93120443309. The next prime is 93120443441. The reversal of 93120443316 is 61334402139.

93120443316 is a `hidden beast` number, since 9 + 3 + 1 + 204 + 433 + 16 = 666.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7999036 + ... + 8010668.

It is an arithmetic number, because the mean of its divisors is an integer number (1368158400).

Almost surely, 2^93120443316 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 93120443316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131343206400).

93120443316 is an abundant number, since it is smaller than the sum of its proper divisors (169565969484).

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

93120443316 is a wasteful number, since it uses less digits than its factorization.

93120443316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11795 (or 11787 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 93120443316 in words is "ninety-three billion, one hundred twenty million, four hundred forty-three thousand, three hundred sixteen".