113311713176640 has 336 divisors, whose sum is σ = 426064141601280. Its totient is φ = 27412154941440.

The previous prime is 113311713176639. The next prime is 113311713176677. The reversal of 113311713176640 is 46671317113311.

It is a happy number.

113311713176640 is a `hidden beast` number, since 1 + 13 + 311 + 7 + 1 + 317 + 6 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11441152 + ... + 18908288.

It is an arithmetic number, because the mean of its divisors is an integer number (1268048040480).

Almost surely, 2^{113311713176640} is an apocalyptic number.

113311713176640 is a gapful number since it is divisible by the number (10) 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 113311713176640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213032070800640).

113311713176640 is an abundant number, since it is smaller than the sum of its proper divisors (312752428424640).

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

113311713176640 is a wasteful number, since it uses less digits than its factorization.

113311713176640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7467650 (or 7467637 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 113311713176640 in words is "one hundred thirteen trillion, three hundred eleven billion, seven hundred thirteen million, one hundred seventy-six thousand, six hundred forty".