116444615400 has 72 divisors (see below), whose sum is σ = 391059839430. Its totient is φ = 31051896960.

The previous prime is 116444615383. The next prime is 116444615401. The reversal of 116444615400 is 4516444611.

116444615400 is a `hidden beast` number, since 1 + 1 + 64 + 446 + 154 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 113546085156 + 2898530244 = 336966^2 + 53838^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (116444615401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32343927 + ... + 32347526.

Almost surely, 2^116444615400 is an apocalyptic number.

116444615400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116444615400 is an abundant number, since it is smaller than the sum of its proper divisors (274615224030).

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

116444615400 is a wasteful number, since it uses less digits than its factorization.

116444615400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64691475 (or 64691463 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 116444615400 in words is "one hundred sixteen billion, four hundred forty-four million, six hundred fifteen thousand, four hundred".