113090361753600 has 7344 divisors, whose sum is σ = 582704370533376. Its totient is φ = 21403533312000.

The previous prime is 113090361753563. The next prime is 113090361753641. The reversal of 113090361753600 is 6357163090311.

113090361753600 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 9 + 0 + 36 + 1 + 7 + 5 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (7344).

It is a super-2 number, since 2×113090361753600² (a number of 29 digits) contains 22 as substring.

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 431 ways as a sum of consecutive naturals, for example, 3648076185585 + ... + 3648076185615.

Almost surely, 2^{113090361753600} is an apocalyptic number.

113090361753600 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 113090361753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291352185266688).

113090361753600 is an abundant number, since it is smaller than the sum of its proper divisors (469614008779776).

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

113090361753600 is an equidigital number, since it uses as much as digits as its factorization.

113090361753600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 113090361753600 in words is "one hundred thirteen trillion, ninety billion, three hundred sixty-one million, seven hundred fifty-three thousand, six hundred".