115046630415360 has 2112 divisors, whose sum is σ = 483754046307840. Its totient is φ = 26172340862976.

The previous prime is 115046630415329. The next prime is 115046630415401. The reversal of 115046630415360 is 63514036640511.

115046630415360 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 4 + 6 + 630 + 4 + 1 + 5 + 3 + 6 + 0 = 666.

It is a super-2 number, since 2×115046630415360² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 168443089579 + ... + 168443090261.

It is an arithmetic number, because the mean of its divisors is an integer number (229050211320).

Almost surely, 2^{115046630415360} is an apocalyptic number.

115046630415360 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 115046630415360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241877023153920).

115046630415360 is an abundant number, since it is smaller than the sum of its proper divisors (368707415892480).

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

115046630415360 is an frugal number, since it uses more digits than its factorization.

115046630415360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 115046630415360 in words is "one hundred fifteen trillion, forty-six billion, six hundred thirty million, four hundred fifteen thousand, three hundred sixty".