116251006464576 has 63 divisors (see below), whose sum is σ = 333213261977401. Its totient is φ = 38750249232384.

The previous prime is 116251006464563. The next prime is 116251006464727. The reversal of 116251006464576 is 675464600152611.

The square root of 116251006464576 is 10781976.

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

116251006464576 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 5 + 1 + 0 + 0 + 6 + 4 + 64 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 113141003674176 + 3110002790400 = 10636776^2 + 1763520^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 258542800 + ... + 258992048.

Almost surely, 2^{116251006464576} is an apocalyptic number.

116251006464576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

116251006464576 is the 10781976-th square number.

It is an amenable number.

116251006464576 is an abundant number, since it is smaller than the sum of its proper divisors (216962255512825).

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

116251006464576 is an frugal number, since it uses more digits than its factorization.

116251006464576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898516 (or 449254 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 116251006464576 in words is "one hundred sixteen trillion, two hundred fifty-one billion, six million, four hundred sixty-four thousand, five hundred seventy-six".