964976158224 has 225 divisors, whose sum is σ = 3025728707133. Its totient is φ = 296774285184.

The previous prime is 964976158217. The next prime is 964976158229. The reversal of 964976158224 is 422851679469.

The square root of 964976158224 is 982332.

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

964976158224 is a `hidden beast` number, since 9 + 6 + 4 + 9 + 7 + 615 + 8 + 2 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 142747952400 + 822228205824 = 377820^2 + 906768^2 .

It is not an unprimeable number, because it can be changed into a prime (964976158229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 459730327 + ... + 459732425.

Almost surely, 2^964976158224 is an apocalyptic number.

964976158224 is the 982332-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 964976158224

964976158224 is an abundant number, since it is smaller than the sum of its proper divisors (2060752548909).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

964976158224 is an equidigital number, since it uses as much as digits as its factorization.

964976158224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4244 (or 2117 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 964976158224 in words is "nine hundred sixty-four billion, nine hundred seventy-six million, one hundred fifty-eight thousand, two hundred twenty-four".