115164504000 has 2352 divisors, whose sum is σ = 552969720576. Its totient is φ = 23514624000.

The previous prime is 115164503989. The next prime is 115164504001. The reversal of 115164504000 is 405461511.

115164504000 is a `hidden beast` number, since 1 + 15 + 1 + 645 + 0 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2352).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115164504001) 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 335 ways as a sum of consecutive naturals, for example, 3714983985 + ... + 3714984015.

Almost surely, 2^115164504000 is an apocalyptic number.

115164504000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115164504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276484860288).

115164504000 is an abundant number, since it is smaller than the sum of its proper divisors (437805216576).

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

115164504000 is an equidigital number, since it uses as much as digits as its factorization.

115164504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 115164504000 its reverse (405461511), we get a palindrome (115569965511).

The spelling of 115164504000 in words is "one hundred fifteen billion, one hundred sixty-four million, five hundred four thousand".