65994989112900 has 81 divisors (see below), whose sum is σ = 206858390890333. Its totient is φ = 17598598773600.

The previous prime is 65994989112883. The next prime is 65994989112971. The reversal of 65994989112900 is 921198949956.

The square root of 65994989112900 is 8123730.

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

65994989112900 is a `hidden beast` number, since 6 + 5 + 9 + 9 + 498 + 9 + 1 + 129 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23758196080644 + 42236793032256 = 4874238^2 + 6498984^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

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, 243576505 + ... + 243847295.

Almost surely, 2^{65994989112900} is an apocalyptic number.

65994989112900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

65994989112900 is the 8123730-th square number.

It is an amenable number.

65994989112900 is an abundant number, since it is smaller than the sum of its proper divisors (140863401777433).

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

65994989112900 is an frugal number, since it uses more digits than its factorization.

65994989112900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541602 (or 270801 counting only the distinct ones).

The product of its (nonzero) digits is 113374080, while the sum is 72.

The spelling of 65994989112900 in words is "sixty-five trillion, nine hundred ninety-four billion, nine hundred eighty-nine million, one hundred twelve thousand, nine hundred".