981264585744 has 45 divisors (see below), whose sum is σ = 2746211240253. Its totient is φ = 327084232896.

The previous prime is 981264585713. The next prime is 981264585751. The reversal of 981264585744 is 447585462189.

It is a happy number.

The square root of 981264585744 is 990588.

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

981264585744 is a `hidden beast` number, since 9 + 8 + 1 + 2 + 6 + 4 + 58 + 574 + 4 = 666.

981264585744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 842701968144 + 138562617600 = 917988^2 + 372240^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11845782 + ... + 11928330.

Almost surely, 2^981264585744 is an apocalyptic number.

981264585744 is the 990588-th square number.

It is an amenable number.

981264585744 is an abundant number, since it is smaller than the sum of its proper divisors (1764946654509).

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

981264585744 is an frugal number, since it uses more digits than its factorization.

981264585744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165112 (or 82554 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 63.

The spelling of 981264585744 in words is "nine hundred eighty-one billion, two hundred sixty-four million, five hundred eighty-five thousand, seven hundred forty-four".