1166914728072 has 96 divisors (see below), whose sum is σ = 3171669373080. Its totient is φ = 387584870400.

The previous prime is 1166914728043. The next prime is 1166914728097. The reversal of 1166914728072 is 2708274196611.

1166914728072 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 91 + 472 + 80 + 7 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 312040663236 + 854874064836 = 558606^2 + 924594^2 .

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 23 ways as a sum of consecutive naturals, for example, 63920898 + ... + 63939150.

Almost surely, 2^{1166914728072} is an apocalyptic number.

1166914728072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1166914728072 is an abundant number, since it is smaller than the sum of its proper divisors (2004754645008).

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

1166914728072 is a wasteful number, since it uses less digits than its factorization.

1166914728072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21383 (or 21376 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 1166914728072 in words is "one trillion, one hundred sixty-six billion, nine hundred fourteen million, seven hundred twenty-eight thousand, seventy-two".