113676911712 has 864 divisors, whose sum is σ = 423588372480. Its totient is φ = 28272291840.

The previous prime is 113676911693. The next prime is 113676911713. The reversal of 113676911712 is 217119676311.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113676911713) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 496405614 + ... + 496405842.

It is an arithmetic number, because the mean of its divisors is an integer number (490264320).

Almost surely, 2^113676911712 is an apocalyptic number.

113676911712 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 113676911712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211794186240).

113676911712 is an abundant number, since it is smaller than the sum of its proper divisors (309911460768).

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

113676911712 is a wasteful number, since it uses less digits than its factorization.

113676911712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 332 counting only the distinct ones).

The product of its digits is 95256, while the sum is 45.

The spelling of 113676911712 in words is "one hundred thirteen billion, six hundred seventy-six million, nine hundred eleven thousand, seven hundred twelve".