113511720672 has 432 divisors, whose sum is σ = 396768153600. Its totient is φ = 30608202240.

The previous prime is 113511720667. The next prime is 113511720703. The reversal of 113511720672 is 276027115311.

113511720672 is a `hidden beast` number, since 1 + 1 + 3 + 511 + 72 + 0 + 6 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 88749729 + ... + 88751007.

It is an arithmetic number, because the mean of its divisors is an integer number (918444800).

Almost surely, 2^113511720672 is an apocalyptic number.

113511720672 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 113511720672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198384076800).

113511720672 is an abundant number, since it is smaller than the sum of its proper divisors (283256432928).

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

113511720672 is a wasteful number, since it uses less digits than its factorization.

113511720672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

Adding to 113511720672 its reverse (276027115311), we get a palindrome (389538835983).

The spelling of 113511720672 in words is "one hundred thirteen billion, five hundred eleven million, seven hundred twenty thousand, six hundred seventy-two".