992888229596641 has 27 divisors (see below), whose sum is σ = 1226934308739027. Its totient is φ = 800982437559360.

The previous prime is 992888229596617. The next prime is 992888229596719. The reversal of 992888229596641 is 146695922888299.

The square root of 992888229596641 is 31510129.

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., 773009867333025 + 219878362263616 = 27803055^2 + 14828296^2 .

It is not a de Polignac number, because 992888229596641 - 2⁷ = 992888229596513 is a prime.

It is a Smith number, since the sum of its digits (88) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (992888229596611) 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, 3749572956 + ... + 3749837746.

Almost surely, 2^{992888229596641} is an apocalyptic number.

992888229596641 is the 31510129-th square number.

992888229596641 is the 15755065-th centered octagonal number.

It is an amenable number.

992888229596641 is a deficient number, since it is larger than the sum of its proper divisors (234046079142386).

992888229596641 is an frugal number, since it uses more digits than its factorization.

992888229596641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529630 (or 264815 counting only the distinct ones).

The product of its digits is 19349176320, while the sum is 88.

The spelling of 992888229596641 in words is "nine hundred ninety-two trillion, eight hundred eighty-eight billion, two hundred twenty-nine million, five hundred ninety-six thousand, six hundred forty-one".