949379358321 has 27 divisors (see below), whose sum is σ = 1417124292363. Its totient is φ = 612444350160.

The previous prime is 949379358307. The next prime is 949379358341. The reversal of 949379358321 is 123853973949.

The square root of 949379358321 is 974361.

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

949379358321 is a `hidden beast` number, since 9 + 49 + 3 + 7 + 9 + 3 + 583 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 720164390625 + 229214967696 = 848625^2 + 478764^2 .

It is not a de Polignac number, because 949379358321 - 2¹¹ = 949379356273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (949379358341) 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 26 ways as a sum of consecutive naturals, for example, 90610335 + ... + 90620811.

Almost surely, 2^949379358321 is an apocalyptic number.

949379358321 is the 974361-st square number.

949379358321 is the 487181-st centered octagonal number.

It is an amenable number.

949379358321 is a deficient number, since it is larger than the sum of its proper divisors (467744934042).

949379358321 is an frugal number, since it uses more digits than its factorization.

949379358321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21022 (or 10511 counting only the distinct ones).

The product of its digits is 44089920, while the sum is 63.

The spelling of 949379358321 in words is "nine hundred forty-nine billion, three hundred seventy-nine million, three hundred fifty-eight thousand, three hundred twenty-one".