116618464800 has 576 divisors, whose sum is σ = 443859091200. Its totient is φ = 29511475200.

The previous prime is 116618464799. The next prime is 116618464801. The reversal of 116618464800 is 8464816611.

116618464800 is a `hidden beast` number, since 1 + 166 + 1 + 8 + 4 + 6 + 480 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (116618464799) and next prime (116618464801).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (116618464801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32765421 + ... + 32768979.

It is an arithmetic number, because the mean of its divisors is an integer number (770588700).

Almost surely, 2^116618464800 is an apocalyptic number.

116618464800 is a gapful number since it is divisible by the number (10) 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 116618464800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221929545600).

116618464800 is an abundant number, since it is smaller than the sum of its proper divisors (327240626400).

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

116618464800 is a wasteful number, since it uses less digits than its factorization.

116618464800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3666 (or 3647 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 116618464800 in words is "one hundred sixteen billion, six hundred eighteen million, four hundred sixty-four thousand, eight hundred".