115015449600 has 396 divisors, whose sum is σ = 418839044520. Its totient is φ = 30147379200.

The previous prime is 115015449559. The next prime is 115015449607. The reversal of 115015449600 is 6944510511.

115015449600 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 1 + 5 + 4 + 49 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115015449607) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 13589370 + ... + 13597830.

Almost surely, 2^115015449600 is an apocalyptic number.

115015449600 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 115015449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209419522260).

115015449600 is an abundant number, since it is smaller than the sum of its proper divisors (303823594920).

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

115015449600 is a wasteful number, since it uses less digits than its factorization.

115015449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8556 (or 8530 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 115015449600 in words is "one hundred fifteen billion, fifteen million, four hundred forty-nine thousand, six hundred".