113443971200 has 384 divisors, whose sum is σ = 327426364800. Its totient is φ = 38036275200.

The previous prime is 113443971197. The next prime is 113443971217. The reversal of 113443971200 is 2179344311.

It is a super-3 number, since 3×113443971200³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 403715060 + ... + 403715340.

It is an arithmetic number, because the mean of its divisors is an integer number (852672825).

Almost surely, 2^113443971200 is an apocalyptic number.

113443971200 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 113443971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163713182400).

113443971200 is an abundant number, since it is smaller than the sum of its proper divisors (213982393600).

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

113443971200 is a wasteful number, since it uses less digits than its factorization.

113443971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The spelling of 113443971200 in words is "one hundred thirteen billion, four hundred forty-three million, nine hundred seventy-one thousand, two hundred".