113349639136032 has 192 divisors, whose sum is σ = 356064613632000. Its totient is φ = 34873825204224.

The previous prime is 113349639135989. The next prime is 113349639136039. The reversal of 113349639136032 is 230631936943311.

It is a happy number.

113349639136032 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 496 + 3 + 91 + 3 + 60 + 3 + 2 = 666.

It is a super-3 number, since 3×113349639136032³ (a number of 43 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 113349639136032.

It is not an unprimeable number, because it can be changed into a prime (113349639136039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132549444 + ... + 133401852.

It is an arithmetic number, because the mean of its divisors is an integer number (1854503196000).

Almost surely, 2^{113349639136032} is an apocalyptic number.

113349639136032 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 113349639136032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178032306816000).

113349639136032 is an abundant number, since it is smaller than the sum of its proper divisors (242714974495968).

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

113349639136032 is a wasteful number, since it uses less digits than its factorization.

113349639136032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864280 (or 864266 counting only the distinct ones).

The product of its (nonzero) digits is 5668704, while the sum is 54.

The spelling of 113349639136032 in words is "one hundred thirteen trillion, three hundred forty-nine billion, six hundred thirty-nine million, one hundred thirty-six thousand, thirty-two".