115553616804 has 36 divisors (see below), whose sum is σ = 302166069660. Its totient is φ = 37189669440.

The previous prime is 115553616797. The next prime is 115553616811. The reversal of 115553616804 is 408616355511.

It is a happy number.

115553616804 is a `hidden beast` number, since 1 + 1 + 5 + 553 + 6 + 16 + 80 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (115553616797) and next prime (115553616811).

It can be written as a sum of positive squares in 2 ways, for example, as 83082297600 + 32471319204 = 288240^2 + 180198^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 115553616804.

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 11 ways as a sum of consecutive naturals, for example, 55340727 + ... + 55342814.

It is an arithmetic number, because the mean of its divisors is an integer number (8393501935).

Almost surely, 2^115553616804 is an apocalyptic number.

It is an amenable number.

115553616804 is an abundant number, since it is smaller than the sum of its proper divisors (186612452856).

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

115553616804 is a wasteful number, since it uses less digits than its factorization.

115553616804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110683580 (or 110683575 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 115553616804 in words is "one hundred fifteen billion, five hundred fifty-three million, six hundred sixteen thousand, eight hundred four".