116513849088 has 576 divisors, whose sum is σ = 430201497600. Its totient is φ = 30284513280.

The previous prime is 116513849069. The next prime is 116513849099. The reversal of 116513849088 is 880948315611.

It is a happy number.

116513849088 is a `hidden beast` number, since 1 + 1 + 6 + 513 + 8 + 49 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44657128 + ... + 44659736.

It is an arithmetic number, because the mean of its divisors is an integer number (746877600).

Almost surely, 2^116513849088 is an apocalyptic number.

116513849088 is a gapful number since it is divisible by the number (18) 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 116513849088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215100748800).

116513849088 is an abundant number, since it is smaller than the sum of its proper divisors (313687648512).

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

116513849088 is a wasteful number, since it uses less digits than its factorization.

116513849088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 116513849088 in words is "one hundred sixteen billion, five hundred thirteen million, eight hundred forty-nine thousand, eighty-eight".