986144330304 has 567 divisors, whose sum is σ = 3450693925497. Its totient is φ = 268456624128.

The previous prime is 986144330273. The next prime is 986144330321. The reversal of 986144330304 is 403033441689.

The square root of 986144330304 is 993048.

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

986144330304 is a `hidden beast` number, since 9 + 8 + 6 + 1 + 4 + 4 + 330 + 304 = 666.

It can be written as a sum of positive squares in only one way, i.e., 970855502400 + 15288827904 = 985320^2 + 123648^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 986144330304.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3837137344 + ... + 3837137600.

Almost surely, 2^986144330304 is an apocalyptic number.

986144330304 is the 993048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 986144330304

986144330304 is an abundant number, since it is smaller than the sum of its proper divisors (2464549595193).

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

986144330304 is a wasteful number, since it uses less digits than its factorization.

986144330304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 986144330304 in words is "nine hundred eighty-six billion, one hundred forty-four million, three hundred thirty thousand, three hundred four".