113555450937600 has 729 divisors, whose sum is σ = 472344321272733. Its totient is φ = 25951439646720.

The previous prime is 113555450937559. The next prime is 113555450937601. The reversal of 113555450937600 is 6739054555311.

It is a happy number.

The square root of 113555450937600 is 10656240.

It is a perfect power (a square), and thus also a powerful number.

113555450937600 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 5 + 545 + 0 + 9 + 37 + 60 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40879962337536 + 72675488600064 = 6393744^2 + 8524992^2 .

It is not an unprimeable number, because it can be changed into a prime (113555450937601) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 17902480029 + ... + 17902486371.

Almost surely, 2^{113555450937600} is an apocalyptic number.

113555450937600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113555450937600 is the 10656240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113555450937600

113555450937600 is an abundant number, since it is smaller than the sum of its proper divisors (358788870335133).

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

113555450937600 is an frugal number, since it uses more digits than its factorization.

113555450937600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12732 (or 6360 counting only the distinct ones).

The product of its (nonzero) digits is 8505000, while the sum is 54.

The spelling of 113555450937600 in words is "one hundred thirteen trillion, five hundred fifty-five billion, four hundred fifty million, nine hundred thirty-seven thousand, six hundred".