116544144864 has 576 divisors, whose sum is σ = 384362496000. Its totient is φ = 30868024320.

The previous prime is 116544144863. The next prime is 116544144907. The reversal of 116544144864 is 468441445611.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116544144863) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 917670369 + ... + 917670495.

It is an arithmetic number, because the mean of its divisors is an integer number (667296000).

Almost surely, 2^116544144864 is an apocalyptic number.

116544144864 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 116544144864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192181248000).

116544144864 is an abundant number, since it is smaller than the sum of its proper divisors (267818351136).

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

116544144864 is a wasteful number, since it uses less digits than its factorization.

116544144864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 199 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 48.

The spelling of 116544144864 in words is "one hundred sixteen billion, five hundred forty-four million, one hundred forty-four thousand, eight hundred sixty-four".