113444421705720 has 512 divisors, whose sum is σ = 438493291776000. Its totient is φ = 25871558588928.

The previous prime is 113444421705709. The next prime is 113444421705743. The reversal of 113444421705720 is 27507124444311.

113444421705720 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 4 + 4 + 4 + 2 + 1 + 70 + 572 + 0 = 666.

It is a super-2 number, since 2×113444421705720² (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 127 ways as a sum of consecutive naturals, for example, 271066386 + ... + 271484574.

It is an arithmetic number, because the mean of its divisors is an integer number (856432210500).

Almost surely, 2^{113444421705720} is an apocalyptic number.

113444421705720 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 113444421705720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219246645888000).

113444421705720 is an abundant number, since it is smaller than the sum of its proper divisors (325048870070280).

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

113444421705720 is an equidigital number, since it uses as much as digits as its factorization.

113444421705720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418671 (or 418649 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 113444421705720 in words is "one hundred thirteen trillion, four hundred forty-four billion, four hundred twenty-one million, seven hundred five thousand, seven hundred twenty".