351624094441 has 9 divisors (see below), whose sum is σ = 356550739959. Its totient is φ = 346764631536.

The previous prime is 351624094429. The next prime is 351624094463. The reversal of 351624094441 is 144490426153.

The square root of 351624094441 is 592979.

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., 199598965225 + 152025129216 = 446765^2 + 389904^2 .

It is not a de Polignac number, because 351624094441 - 2⁷ = 351624094313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (351624094141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 43283406 + ... + 43291528.

Almost surely, 2^351624094441 is an apocalyptic number.

351624094441 is the 592979-th square number.

351624094441 is the 296490-th centered octagonal number.

It is an amenable number.

351624094441 is a deficient number, since it is larger than the sum of its proper divisors (4926645518).

351624094441 is an frugal number, since it uses more digits than its factorization.

351624094441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16392 (or 8196 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 351624094441 in words is "three hundred fifty-one billion, six hundred twenty-four million, ninety-four thousand, four hundred forty-one".