880968082801 has 15 divisors (see below), whose sum is σ = 900522409101. Its totient is φ = 861836619384.

The previous prime is 880968082789. The next prime is 880968082871. The reversal of 880968082801 is 108280869088.

The square root of 880968082801 is 938599.

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

880968082801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 136751300401 + 744216782400 = 369799^2 + 862680^2 .

It is a de Polignac number, because none of the positive numbers 2^k-880968082801 is a prime.

It is a super-2 number, since 2×880968082801² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (880968082871) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8082275935 + ... + 8082276043.

Almost surely, 2^880968082801 is an apocalyptic number.

880968082801 is the 938599-th square number.

880968082801 is the 469300-th centered octagonal number.

It is an amenable number.

880968082801 is a deficient number, since it is larger than the sum of its proper divisors (19554326300).

880968082801 is an frugal number, since it uses more digits than its factorization.

880968082801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 58.

The spelling of 880968082801 in words is "eight hundred eighty billion, nine hundred sixty-eight million, eighty-two thousand, eight hundred one".