113047589523456 has 1053 divisors, whose sum is σ = 395795639962281. Its totient is φ = 32189074735104.

The previous prime is 113047589523439. The next prime is 113047589523511. The reversal of 113047589523456 is 654325985740311.

The square root of 113047589523456 is 10632384.

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

113047589523456 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 4 + 7 + 58 + 9 + 523 + 4 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 106958618726400 + 6088970797056 = 10342080^2 + 2467584^2 .

It is a super-3 number, since 3×113047589523456³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 113047589523393 and 113047589523402.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 385827950446 + ... + 385827950738.

It is a 1-persistent number, because it is pandigital, but 2⋅113047589523456 = 226095179046912 is not.

Almost surely, 2^{113047589523456} is an apocalyptic number.

113047589523456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

113047589523456 is the 10632384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113047589523456

113047589523456 is an abundant number, since it is smaller than the sum of its proper divisors (282748050438825).

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

113047589523456 is an frugal number, since it uses more digits than its factorization.

113047589523456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 113047589523456 in words is "one hundred thirteen trillion, forty-seven billion, five hundred eighty-nine million, five hundred twenty-three thousand, four hundred fifty-six".