113159577664 has 63 divisors (see below), whose sum is σ = 261255922623. Its totient is φ = 48488888448.

The previous prime is 113159577653. The next prime is 113159577749. The reversal of 113159577664 is 466775951311.

It is a happy number.

The square root of 113159577664 is 336392.

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

It is a super-3 number, since 3×113159577664³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18834949 + ... + 18840955.

Almost surely, 2^113159577664 is an apocalyptic number.

113159577664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

113159577664 is the 336392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113159577664

113159577664 is an abundant number, since it is smaller than the sum of its proper divisors (148096344959).

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

113159577664 is an frugal number, since it uses more digits than its factorization.

113159577664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12040 (or 6016 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 55.

The spelling of 113159577664 in words is "one hundred thirteen billion, one hundred fifty-nine million, five hundred seventy-seven thousand, six hundred sixty-four".