113778710721 has 105 divisors (see below), whose sum is σ = 190879131795. Its totient is φ = 67759033680.

The previous prime is 113778710687. The next prime is 113778710737. The reversal of 113778710721 is 127017877311.

The square root of 113778710721 is 337311.

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

It can be written as a sum of positive squares in only one way, i.e., 16831170225 + 96947540496 = 129735^2 + 311364^2 .

It is not a de Polignac number, because 113778710721 - 2⁹ = 113778710209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (113778710921) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 3670280976 + ... + 3670281006.

Almost surely, 2^113778710721 is an apocalyptic number.

113778710721 is the 337311-st square number.

113778710721 is the 168656-th centered octagonal number.

It is an amenable number.

113778710721 is a deficient number, since it is larger than the sum of its proper divisors (77100421074).

113778710721 is an frugal number, since it uses more digits than its factorization.

113778710721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 115248, while the sum is 45.

The spelling of 113778710721 in words is "one hundred thirteen billion, seven hundred seventy-eight million, seven hundred ten thousand, seven hundred twenty-one".