115854114816 has 384 divisors, whose sum is σ = 370988916480. Its totient is φ = 34544025600.

The previous prime is 115854114809. The next prime is 115854114823. The reversal of 115854114816 is 618411458511.

115854114816 is a `hidden beast` number, since 1 + 1 + 58 + 541 + 1 + 48 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (115854114809) and next prime (115854114823).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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, 230326021 + ... + 230326523.

It is an arithmetic number, because the mean of its divisors is an integer number (966116970).

Almost surely, 2^115854114816 is an apocalyptic number.

115854114816 is a gapful number since it is divisible by the number (16) 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 115854114816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185494458240).

115854114816 is an abundant number, since it is smaller than the sum of its proper divisors (255134801664).

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

115854114816 is an equidigital number, since it uses as much as digits as its factorization.

115854114816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 590 counting only the distinct ones).

The product of its digits is 153600, while the sum is 45.

The spelling of 115854114816 in words is "one hundred fifteen billion, eight hundred fifty-four million, one hundred fourteen thousand, eight hundred sixteen".