116289805464 has 384 divisors, whose sum is σ = 403518412800. Its totient is φ = 30827381760.

The previous prime is 116289805427. The next prime is 116289805531. The reversal of 116289805464 is 464508982611.

116289805464 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 8 + 98 + 0 + 546 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 116289805464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12770337 + ... + 12779439.

It is an arithmetic number, because the mean of its divisors is an integer number (1050829200).

Almost surely, 2^116289805464 is an apocalyptic number.

116289805464 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 116289805464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201759206400).

116289805464 is an abundant number, since it is smaller than the sum of its proper divisors (287228607336).

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

116289805464 is a wasteful number, since it uses less digits than its factorization.

116289805464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9220 (or 9203 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 116289805464 in words is "one hundred sixteen billion, two hundred eighty-nine million, eight hundred five thousand, four hundred sixty-four".