113982209321400 has 1344 divisors, whose sum is σ = 458935769445120. Its totient is φ = 25776730828800.

The previous prime is 113982209321381. The next prime is 113982209321401. The reversal of 113982209321400 is 4123902289311.

113982209321400 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 8 + 2 + 209 + 32 + 1 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113982209321401) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 40092228379 + ... + 40092231221.

Almost surely, 2^{113982209321400} is an apocalyptic number.

113982209321400 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 113982209321400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229467884722560).

113982209321400 is an abundant number, since it is smaller than the sum of its proper divisors (344953560123720).

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

113982209321400 is a wasteful number, since it uses less digits than its factorization.

113982209321400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3288 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 113982209321400 in words is "one hundred thirteen trillion, nine hundred eighty-two billion, two hundred nine million, three hundred twenty-one thousand, four hundred".