115111911366144 has 2880 divisors, whose sum is σ = 451558234423296. Its totient is φ = 28625135616000.

The previous prime is 115111911366107. The next prime is 115111911366167. The reversal of 115111911366144 is 441663119111511.

115111911366144 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 1 + 19 + 1 + 13 + 6 + 614 + 4 = 666.

Its product of digits (77760) is a multiple of the sum of its prime divisors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 115111911366144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 545554082199 + ... + 545554082409.

Almost surely, 2^{115111911366144} is an apocalyptic number.

115111911366144 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 115111911366144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225779117211648).

115111911366144 is an abundant number, since it is smaller than the sum of its proper divisors (336446323057152).

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

115111911366144 is a wasteful number, since it uses less digits than its factorization.

115111911366144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 432 counting only the distinct ones).

The product of its digits is 77760, while the sum is 45.

The spelling of 115111911366144 in words is "one hundred fifteen trillion, one hundred eleven billion, nine hundred eleven million, three hundred sixty-six thousand, one hundred forty-four".