116516441137152 has 896 divisors, whose sum is σ = 378374260654080. Its totient is φ = 31192146247680.

The previous prime is 116516441137123. The next prime is 116516441137189. The reversal of 116516441137152 is 251731144615611.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×116516441137152² (a number of 29 digits) contains 22 as substring.

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

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, 21081314613 + ... + 21081320139.

Almost surely, 2^{116516441137152} is an apocalyptic number.

116516441137152 is a gapful number since it is divisible by the number (12) 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 116516441137152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189187130327040).

116516441137152 is an abundant number, since it is smaller than the sum of its proper divisors (261857819516928).

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

116516441137152 is an equidigital number, since it uses as much as digits as its factorization.

116516441137152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5720 (or 5696 counting only the distinct ones).

The product of its digits is 604800, while the sum is 48.

The spelling of 116516441137152 in words is "one hundred sixteen trillion, five hundred sixteen billion, four hundred forty-one million, one hundred thirty-seven thousand, one hundred fifty-two".