88339133961 has 27 divisors (see below), whose sum is σ = 138189598677. Its totient is φ = 54355410720.

The previous prime is 88339133947. The next prime is 88339133977. The reversal of 88339133961 is 16933193388.

The square root of 88339133961 is 297219.

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 215649225 + 88123484736 = 14685^2 + 296856^2 .

It is not a de Polignac number, because 88339133961 - 2¹⁷ = 88339002889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 88339133898 and 88339133907.

It is not an unprimeable number, because it can be changed into a prime (88339133941) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11587731 + ... + 11595351.

Almost surely, 2^88339133961 is an apocalyptic number.

88339133961 is the 297219-th square number.

88339133961 is the 148610-th centered octagonal number.

It is an amenable number.

88339133961 is a deficient number, since it is larger than the sum of its proper divisors (49850464716).

88339133961 is an frugal number, since it uses more digits than its factorization.

88339133961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15274 (or 7637 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The spelling of 88339133961 in words is "eighty-eight billion, three hundred thirty-nine million, one hundred thirty-three thousand, nine hundred sixty-one".