115155004860900 has 243 divisors, whose sum is σ = 364460849946921. Its totient is φ = 30411910716480.

The previous prime is 115155004860859. The next prime is 115155004860953. The reversal of 115155004860900 is 9068400551511.

The square root of 115155004860900 is 10731030.

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

115155004860900 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 550 + 0 + 4 + 8 + 6 + 0 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41455801749924 + 73699203110976 = 6438618^2 + 8584824^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 34446604629 + ... + 34446607971.

Almost surely, 2^{115155004860900} is an apocalyptic number.

115155004860900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

115155004860900 is the 10731030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115155004860900

115155004860900 is an abundant number, since it is smaller than the sum of its proper divisors (249305845086021).

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

115155004860900 is an equidigital number, since it uses as much as digits as its factorization.

115155004860900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6920 (or 3460 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 45.

The spelling of 115155004860900 in words is "one hundred fifteen trillion, one hundred fifty-five billion, four million, eight hundred sixty thousand, nine hundred".