115241220864 has 324 divisors, whose sum is σ = 417402648208. Its totient is φ = 29932277760.

The previous prime is 115241220851. The next prime is 115241220883. The reversal of 115241220864 is 468022142511.

115241220864 is a `hidden beast` number, since 1 + 1 + 524 + 122 + 0 + 8 + 6 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1921962 + ... + 1981014.

Almost surely, 2^115241220864 is an apocalyptic number.

115241220864 is a gapful number since it is divisible by the number (14) 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 115241220864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208701324104).

115241220864 is an abundant number, since it is smaller than the sum of its proper divisors (302161427344).

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

115241220864 is a wasteful number, since it uses less digits than its factorization.

115241220864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59104 (or 59076 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 115241220864 in words is "one hundred fifteen billion, two hundred forty-one million, two hundred twenty thousand, eight hundred sixty-four".