161716579600 has 45 divisors (see below), whose sum is σ = 388543406277. Its totient is φ = 64683414720.

The previous prime is 161716579547. The next prime is 161716579679. The reversal of 161716579600 is 6975617161.

The square root of 161716579600 is 402140.

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

It can be written as a sum of positive squares in only one way, i.e., 58217968656 + 103498610944 = 241284^2 + 321712^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8032747 + ... + 8052853.

Almost surely, 2^161716579600 is an apocalyptic number.

161716579600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

161716579600 is the 402140-th square number.

It is an amenable number.

161716579600 is an abundant number, since it is smaller than the sum of its proper divisors (226826826677).

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

161716579600 is an frugal number, since it uses more digits than its factorization.

161716579600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40232 (or 20114 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 49.

Multiplying 161716579600 by its sum of digits (49), we get a square (7924112400400 = 2814980²).

The spelling of 161716579600 in words is "one hundred sixty-one billion, seven hundred sixteen million, five hundred seventy-nine thousand, six hundred".