352682764641 has 9 divisors (see below), whose sum is σ = 509433233491. Its totient is φ = 235120655352.

The previous prime is 352682764619. The next prime is 352682764663. The reversal of 352682764641 is 146467286253.

The square root of 352682764641 is 593871.

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

352682764641 is a `hidden beast` number, since 3 + 52 + 68 + 2 + 76 + 464 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (352682764619) and next prime (352682764663).

It can be written as a sum of positive squares in only one way, i.e., 60213798225 + 292468966416 = 245385^2 + 540804^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-352682764641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (352682764741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1682635 + ... + 1880591.

Almost surely, 2^352682764641 is an apocalyptic number.

352682764641 is the 593871-st square number.

352682764641 is the 296936-th centered octagonal number.

It is an amenable number.

352682764641 is a deficient number, since it is larger than the sum of its proper divisors (156750468850).

352682764641 is an frugal number, since it uses more digits than its factorization.

352682764641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395920 (or 197960 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 352682764641 in words is "three hundred fifty-two billion, six hundred eighty-two million, seven hundred sixty-four thousand, six hundred forty-one".