113344920000 has 1470 divisors, whose sum is σ = 476142829272. Its totient is φ = 26687232000.

The previous prime is 113344919951. The next prime is 113344920011. The reversal of 113344920000 is 29443311.

113344920000 is a `hidden beast` number, since 1 + 13 + 3 + 449 + 200 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 209 ways as a sum of consecutive naturals, for example, 4928039989 + ... + 4928040011.

Almost surely, 2^113344920000 is an apocalyptic number.

113344920000 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 113344920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238071414636).

113344920000 is an abundant number, since it is smaller than the sum of its proper divisors (362797909272).

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

113344920000 is an frugal number, since it uses more digits than its factorization.

113344920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 113344920000 in words is "one hundred thirteen billion, three hundred forty-four million, nine hundred twenty thousand".