115166790144 has 480 divisors, whose sum is σ = 401646168000. Its totient is φ = 32889120768.

The previous prime is 115166790119. The next prime is 115166790161. The reversal of 115166790144 is 441097661511.

It is a happy number.

115166790144 is a `hidden beast` number, since 1 + 1 + 516 + 6 + 7 + 90 + 1 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 115166790144.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54866407 + ... + 54868505.

It is an arithmetic number, because the mean of its divisors is an integer number (836762850).

Almost surely, 2^115166790144 is an apocalyptic number.

115166790144 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 115166790144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200823084000).

115166790144 is an abundant number, since it is smaller than the sum of its proper divisors (286479377856).

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

115166790144 is an frugal number, since it uses more digits than its factorization.

115166790144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 115166790144 in words is "one hundred fifteen billion, one hundred sixty-six million, seven hundred ninety thousand, one hundred forty-four".