113206722665400 has 768 divisors, whose sum is σ = 495400425676800. Its totient is φ = 23114875392000.

The previous prime is 113206722665383. The next prime is 113206722665411. The reversal of 113206722665400 is 4566227602311.

113206722665400 is a `hidden beast` number, since 1 + 1 + 3 + 20 + 6 + 7 + 22 + 66 + 540 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11517660 + ... + 18949140.

It is an arithmetic number, because the mean of its divisors is an integer number (645052637600).

Almost surely, 2^{113206722665400} is an apocalyptic number.

113206722665400 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 113206722665400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247700212838400).

113206722665400 is an abundant number, since it is smaller than the sum of its proper divisors (382193703011400).

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

113206722665400 is a wasteful number, since it uses less digits than its factorization.

113206722665400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7431557 (or 7431542 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 113206722665400 in words is "one hundred thirteen trillion, two hundred six billion, seven hundred twenty-two million, six hundred sixty-five thousand, four hundred".