113197824000 has 960 divisors, whose sum is σ = 434101187520. Its totient is φ = 29328998400.

The previous prime is 113197823969. The next prime is 113197824001. The reversal of 113197824000 is 428791311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113197824001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1099007949 + ... + 1099008051.

It is an arithmetic number, because the mean of its divisors is an integer number (452188737).

Almost surely, 2^113197824000 is an apocalyptic number.

113197824000 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 113197824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217050593760).

113197824000 is an abundant number, since it is smaller than the sum of its proper divisors (320903363520).

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

113197824000 is an equidigital number, since it uses as much as digits as its factorization.

113197824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 113197824000 in words is "one hundred thirteen billion, one hundred ninety-seven million, eight hundred twenty-four thousand".