93069412128 has 960 divisors, whose sum is σ = 364264750080. Its totient is φ = 22674816000.

The previous prime is 93069412103. The next prime is 93069412133. The reversal of 93069412128 is 82121496039.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 921479278 + ... + 921479378.

It is an arithmetic number, because the mean of its divisors is an integer number (379442448).

Almost surely, 2^93069412128 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 93069412128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182132375040).

93069412128 is an abundant number, since it is smaller than the sum of its proper divisors (271195337952).

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

93069412128 is a wasteful number, since it uses less digits than its factorization.

93069412128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 93069412128 in words is "ninety-three billion, sixty-nine million, four hundred twelve thousand, one hundred twenty-eight".