332097485841 has 45 divisors (see below), whose sum is σ = 545389565259. Its totient is φ = 201236626800.

The previous prime is 332097485827. The next prime is 332097485851. The reversal of 332097485841 is 148584790233.

It is a happy number.

The square root of 332097485841 is 576279.

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

332097485841 is a `hidden beast` number, since 3 + 32 + 0 + 97 + 485 + 8 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 288875075841 + 43222410000 = 537471^2 + 207900^2 .

It is not a de Polignac number, because 332097485841 - 2⁹ = 332097485329 is a prime.

It is a super-2 number, since 2×332097485841² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332097485851) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 57048711 + ... + 57054531.

Almost surely, 2^332097485841 is an apocalyptic number.

332097485841 is the 576279-th square number.

332097485841 is the 288140-th centered octagonal number.

It is an amenable number.

332097485841 is a deficient number, since it is larger than the sum of its proper divisors (213292079418).

332097485841 is an frugal number, since it uses more digits than its factorization.

332097485841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11676 (or 5835 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 332097485841 in words is "three hundred thirty-two billion, ninety-seven million, four hundred eighty-five thousand, eight hundred forty-one".