113498958580921 has 9 divisors (see below), whose sum is σ = 115390760220333. Its totient is φ = 111637680700320.

The previous prime is 113498958580841. The next prime is 113498958580949. The reversal of 113498958580921 is 129085859894311.

The square root of 113498958580921 is 10653589.

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

It can be written as a sum of positive squares in 4 ways, for example, as 86347564090921 + 27151394490000 = 9292339^2 + 5210700^2 .

It is not a de Polignac number, because 113498958580921 - 2¹³ = 113498958572729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113498958580321) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 649781605 + ... + 649956253.

It is an arithmetic number, because the mean of its divisors is an integer number (12821195580037).

Almost surely, 2^{113498958580921} is an apocalyptic number.

113498958580921 is the 10653589-th square number.

113498958580921 is the 5326795-th centered octagonal number.

It is an amenable number.

113498958580921 is a deficient number, since it is larger than the sum of its proper divisors (1891801639412).

113498958580921 is an frugal number, since it uses more digits than its factorization.

113498958580921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349420 (or 174710 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 73.

The spelling of 113498958580921 in words is "one hundred thirteen trillion, four hundred ninety-eight billion, nine hundred fifty-eight million, five hundred eighty thousand, nine hundred twenty-one".