181656019999872 has 256 divisors, whose sum is σ = 615660357312000. Its totient is φ = 52150053381120.

The previous prime is 181656019999843. The next prime is 181656019999901. The reversal of 181656019999872 is 278999910656181.

It is an interprime number because it is at equal distance from previous prime (181656019999843) and next prime (181656019999901).

It is a junction number, because it is equal to n+sod(n) for n = 181656019999791 and 181656019999800.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125025318 + ... + 126469925.

It is an arithmetic number, because the mean of its divisors is an integer number (2404923270750).

Almost surely, 2^{181656019999872} is an apocalyptic number.

181656019999872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

181656019999872 is an abundant number, since it is smaller than the sum of its proper divisors (434004337312128).

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

181656019999872 is a wasteful number, since it uses less digits than its factorization.

181656019999872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251495296 (or 251495278 counting only the distinct ones).

The product of its (nonzero) digits is 1058158080, while the sum is 81.

The spelling of 181656019999872 in words is "one hundred eighty-one trillion, six hundred fifty-six billion, nineteen million, nine hundred ninety-nine thousand, eight hundred seventy-two".