964746306225 has 405 divisors, whose sum is σ = 2050965016947. Its totient is φ = 448078625280.

The previous prime is 964746306211. The next prime is 964746306247. The reversal of 964746306225 is 522603647469.

The square root of 964746306225 is 982215.

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

964746306225 is a `hidden beast` number, since 9 + 6 + 4 + 7 + 4 + 6 + 3 + 0 + 622 + 5 = 666.

964746306225 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 868849558641 + 95896747584 = 932121^2 + 309672^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 964746306225 - 2¹¹ = 964746304177 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 13215702789 + ... + 13215702861.

Almost surely, 2^964746306225 is an apocalyptic number.

964746306225 is the 982215-th square number.

964746306225 is the 491108-th centered octagonal number.

It is an amenable number.

964746306225 is an abundant number, since it is smaller than the sum of its proper divisors (1086218710722).

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

964746306225 is a wasteful number, since it uses less digits than its factorization.

964746306225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 964746306225 in words is "nine hundred sixty-four billion, seven hundred forty-six million, three hundred six thousand, two hundred twenty-five".