946524444425649 has 12 divisors (see below), whose sum is σ = 1367206192536756. Its totient is φ = 631014349858272.

The previous prime is 946524444425639. The next prime is 946524444425653.

It is a happy number.

946524444425649 is a `hidden beast` number, since 9 + 4 + 6 + 52 + 4 + 4 + 4 + 4 + 4 + 2 + 564 + 9 = 666.

946524444425649 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 99514690247025 + 847009754178624 = 9975705^2 + 29103432^2 .

It is not a de Polignac number, because 946524444425649 - 2⁸ = 946524444425393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (946524444425639) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159119214 + ... + 164960519.

It is an arithmetic number, because the mean of its divisors is an integer number (113933849378063).

Almost surely, 2^{946524444425649} is an apocalyptic number.

It is an amenable number.

946524444425649 is a deficient number, since it is larger than the sum of its proper divisors (420681748111107).

946524444425649 is a wasteful number, since it uses less digits than its factorization.

946524444425649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324404256 (or 324404253 counting only the distinct ones).

The product of its digits is 4777574400, while the sum is 72.

The spelling of 946524444425649 in words is "nine hundred forty-six trillion, five hundred twenty-four billion, four hundred forty-four million, four hundred twenty-five thousand, six hundred forty-nine".