113278578984081 has 135 divisors (see below), whose sum is σ = 202820617080731. Its totient is φ = 60908628719232.

The previous prime is 113278578984041. The next prime is 113278578984113. The reversal of 113278578984081 is 180489875872311.

The square root of 113278578984081 is 10643241.

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

113278578984081 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 7 + 8 + 578 + 9 + 8 + 40 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 88192665299025 + 25085913685056 = 9391095^2 + 5008584^2 .

It is not a de Polignac number, because 113278578984081 - 2¹⁹ = 113278578459793 is a prime.

It is a super-2 number, since 2×113278578984081² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113278578984001) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 26597457130 + ... + 26597461388.

Almost surely, 2^{113278578984081} is an apocalyptic number.

113278578984081 is the 10643241-st square number.

113278578984081 is the 5321621-st centered octagonal number.

It is an amenable number.

113278578984081 is a deficient number, since it is larger than the sum of its proper divisors (89542038096650).

113278578984081 is an frugal number, since it uses more digits than its factorization.

113278578984081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8586 (or 4286 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 72.

The spelling of 113278578984081 in words is "one hundred thirteen trillion, two hundred seventy-eight billion, five hundred seventy-eight million, nine hundred eighty-four thousand, eighty-one".