113198893920 has 288 divisors, whose sum is σ = 460671224832. Its totient is φ = 24749024256.

The previous prime is 113198893909. The next prime is 113198893981. The reversal of 113198893920 is 29398891311.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×113198893920² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12292 + ... + 475971.

It is an arithmetic number, because the mean of its divisors is an integer number (1599552864).

Almost surely, 2^113198893920 is an apocalyptic number.

113198893920 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 113198893920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230335612416).

113198893920 is an abundant number, since it is smaller than the sum of its proper divisors (347472330912).

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

113198893920 is a wasteful number, since it uses less digits than its factorization.

113198893920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488314 (or 488303 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 113198893920 in words is "one hundred thirteen billion, one hundred ninety-eight million, eight hundred ninety-three thousand, nine hundred twenty".