115640838144 has 288 divisors, whose sum is σ = 375339968640. Its totient is φ = 34033139712.

The previous prime is 115640838139. The next prime is 115640838253. The reversal of 115640838144 is 441838046511.

115640838144 is a `hidden beast` number, since 1 + 1 + 564 + 0 + 8 + 3 + 81 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 115640838144.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5500677 + ... + 5521659.

It is an arithmetic number, because the mean of its divisors is an integer number (1303263780).

Almost surely, 2^115640838144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115640838144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187669984320).

115640838144 is an abundant number, since it is smaller than the sum of its proper divisors (259699130496).

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

115640838144 is a wasteful number, since it uses less digits than its factorization.

115640838144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21047 (or 21024 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 115640838144 in words is "one hundred fifteen billion, six hundred forty million, eight hundred thirty-eight thousand, one hundred forty-four".