113564997000 has 1920 divisors, whose sum is σ = 520578938880. Its totient is φ = 22861440000.

The previous prime is 113564996989. The next prime is 113564997017. The reversal of 113564997000 is 799465311.

113564997000 is a `hidden beast` number, since 1 + 13 + 564 + 9 + 9 + 70 + 0 + 0 = 666.

It is a super-2 number, since 2×113564997000² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1599506965 + ... + 1599507035.

It is an arithmetic number, because the mean of its divisors is an integer number (271134864).

Almost surely, 2^113564997000 is an apocalyptic number.

113564997000 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 113564997000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260289469440).

113564997000 is an abundant number, since it is smaller than the sum of its proper divisors (407013941880).

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

113564997000 is a wasteful number, since it uses less digits than its factorization.

113564997000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 113564997000 in words is "one hundred thirteen billion, five hundred sixty-four million, nine hundred ninety-seven thousand".