93114685120 has 112 divisors (see below), whose sum is σ = 229068758016. Its totient is φ = 36014976000.

The previous prime is 93114685093. The next prime is 93114685171. The reversal of 93114685120 is 2158641139.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15184455 + ... + 15190585.

It is an arithmetic number, because the mean of its divisors is an integer number (2045256768).

Almost surely, 2^93114685120 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 93114685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114534379008).

93114685120 is an abundant number, since it is smaller than the sum of its proper divisors (135954072896).

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

93114685120 is a wasteful number, since it uses less digits than its factorization.

93114685120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7710 (or 7700 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The spelling of 93114685120 in words is "ninety-three billion, one hundred fourteen million, six hundred eighty-five thousand, one hundred twenty".