161314689600 has 189 divisors, whose sum is σ = 573521849017. Its totient is φ = 43004398080.

The previous prime is 161314689583. The next prime is 161314689607. The reversal of 161314689600 is 6986413161.

The square root of 161314689600 is 401640.

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

161314689600 is a `hidden beast` number, since 1 + 6 + 1 + 31 + 4 + 6 + 8 + 9 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 58073288256 + 103241401344 = 240984^2 + 321312^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (161314689607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 48195127 + ... + 48198473.

Almost surely, 2^161314689600 is an apocalyptic number.

161314689600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

161314689600 is the 401640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161314689600

161314689600 is an abundant number, since it is smaller than the sum of its proper divisors (412207159417).

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

161314689600 is an frugal number, since it uses more digits than its factorization.

161314689600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6722 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 161314689600 in words is "one hundred sixty-one billion, three hundred fourteen million, six hundred eighty-nine thousand, six hundred".