116764268544 has 1152 divisors, whose sum is σ = 453817728000. Its totient is φ = 28612362240.

The previous prime is 116764268527. The next prime is 116764268587. The reversal of 116764268544 is 445862467611.

116764268544 is a `hidden beast` number, since 1 + 1 + 6 + 76 + 4 + 26 + 8 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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, 1599510492 + ... + 1599510564.

It is an arithmetic number, because the mean of its divisors is an integer number (393939000).

Almost surely, 2^116764268544 is an apocalyptic number.

116764268544 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 116764268544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226908864000).

116764268544 is an abundant number, since it is smaller than the sum of its proper divisors (337053459456).

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

116764268544 is a wasteful number, since it uses less digits than its factorization.

116764268544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 119 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 116764268544 in words is "one hundred sixteen billion, seven hundred sixty-four million, two hundred sixty-eight thousand, five hundred forty-four".