93190368768 has 480 divisors, whose sum is σ = 304264097280. Its totient is φ = 24798412800.

The previous prime is 93190368721. The next prime is 93190368781. The reversal of 93190368768 is 86786309139.

It is a super-2 number, since 2×93190368768² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299647333 + ... + 299647643.

It is an arithmetic number, because the mean of its divisors is an integer number (633883536).

Almost surely, 2^93190368768 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 93190368768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152132048640).

93190368768 is an abundant number, since it is smaller than the sum of its proper divisors (211073728512).

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

93190368768 is a wasteful number, since it uses less digits than its factorization.

93190368768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 60.

The spelling of 93190368768 in words is "ninety-three billion, one hundred ninety million, three hundred sixty-eight thousand, seven hundred sixty-eight".