113849319168000 has 1152 divisors, whose sum is σ = 457173526118400. Its totient is φ = 27057881088000.

The previous prime is 113849319167993. The next prime is 113849319168017. The reversal of 113849319168000 is 861913948311.

113849319168000 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 493 + 1 + 91 + 68 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 868542465 + ... + 868673535.

It is an arithmetic number, because the mean of its divisors is an integer number (396852019200).

Almost surely, 2^{113849319168000} is an apocalyptic number.

113849319168000 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 113849319168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228586763059200).

113849319168000 is an abundant number, since it is smaller than the sum of its proper divisors (343324206950400).

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

113849319168000 is a wasteful number, since it uses less digits than its factorization.

113849319168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131156 (or 131123 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 113849319168000 in words is "one hundred thirteen trillion, eight hundred forty-nine billion, three hundred nineteen million, one hundred sixty-eight thousand".