161683329906576 has 135 divisors (see below), whose sum is σ = 453659703165201. Its totient is φ = 53755335994752.

The previous prime is 161683329906559. The next prime is 161683329906587. The reversal of 161683329906576 is 675609923386161.

The square root of 161683329906576 is 12715476.

It is a perfect power (a square), and thus also a powerful number.

161683329906576 is a `hidden beast` number, since 1 + 6 + 16 + 8 + 3 + 32 + 9 + 9 + 0 + 6 + 576 = 666.

161683329906576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6907834732176 + 154775495174400 = 2628276^2 + 12440880^2 .

It is a super-2 number, since 2×161683329906576² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 71257526370 + ... + 71257528638.

Almost surely, 2^{161683329906576} is an apocalyptic number.

161683329906576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

161683329906576 is the 12715476-th square number.

It is an amenable number.

161683329906576 is an abundant number, since it is smaller than the sum of its proper divisors (291976373258625).

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

161683329906576 is an frugal number, since it uses more digits than its factorization.

161683329906576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5486 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 72.

The spelling of 161683329906576 in words is "one hundred sixty-one trillion, six hundred eighty-three billion, three hundred twenty-nine million, nine hundred six thousand, five hundred seventy-six".