115516150648336 has 135 divisors (see below), whose sum is σ = 238701569513229. Its totient is φ = 54147466106496.

The previous prime is 115516150648333. The next prime is 115516150648357. The reversal of 115516150648336 is 633846051615511.

The square root of 115516150648336 is 10747844.

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

It can be written as a sum of positive squares in only one way, i.e., 114173926448400 + 1342224199936 = 10685220^2 + 1158544^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (115516150648331) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 84134122146 + ... + 84134123518.

Almost surely, 2^{115516150648336} is an apocalyptic number.

115516150648336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

115516150648336 is the 10747844-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115516150648336

115516150648336 is an abundant number, since it is smaller than the sum of its proper divisors (123185418864893).

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

115516150648336 is an frugal number, since it uses more digits than its factorization.

115516150648336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2998 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 55.

The spelling of 115516150648336 in words is "one hundred fifteen trillion, five hundred sixteen billion, one hundred fifty million, six hundred forty-eight thousand, three hundred thirty-six".