230100198656832 has 672 divisors, whose sum is σ = 787421441664000. Its totient is φ = 64182133306368.

The previous prime is 230100198656803. The next prime is 230100198656849. The reversal of 230100198656832 is 238656891001032.

230100198656832 is a `hidden beast` number, since 2 + 30 + 1 + 0 + 0 + 19 + 8 + 6 + 568 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×230100198656832² (a number of 30 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 95 ways as a sum of consecutive naturals, for example, 20958205519 + ... + 20958216497.

Almost surely, 2^{230100198656832} 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 230100198656832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393710720832000).

230100198656832 is an abundant number, since it is smaller than the sum of its proper divisors (557321243007168).

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

230100198656832 is a wasteful number, since it uses less digits than its factorization.

230100198656832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13528 (or 13501 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 230100198656832 in words is "two hundred thirty trillion, one hundred billion, one hundred ninety-eight million, six hundred fifty-six thousand, eight hundred thirty-two".