949964064921 has 81 divisors (see below), whose sum is σ = 1511924941501. Its totient is φ = 574628936448.

The previous prime is 949964064919. The next prime is 949964064923. The reversal of 949964064921 is 129460469949.

The square root of 949964064921 is 974661.

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

949964064921 is a `hidden beast` number, since 9 + 499 + 64 + 0 + 64 + 9 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (949964064919) and next prime (949964064923).

It can be written as a sum of positive squares in 4 ways, for example, as 93902409225 + 856061655696 = 306435^2 + 925236^2 .

It is not a de Polignac number, because 949964064921 - 2¹ = 949964064919 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (949964064923) 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 80 ways as a sum of consecutive naturals, for example, 1441523290 + ... + 1441523948.

Almost surely, 2^949964064921 is an apocalyptic number.

949964064921 is the 974661-st square number.

949964064921 is the 487331-st centered octagonal number.

It is an amenable number.

949964064921 is a deficient number, since it is larger than the sum of its proper divisors (561960876580).

949964064921 is an equidigital number, since it uses as much as digits as its factorization.

949964064921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 949964064921 in words is "nine hundred forty-nine billion, nine hundred sixty-four million, sixty-four thousand, nine hundred twenty-one".