1038784947264 has 63 divisors (see below), whose sum is σ = 2977559607607. Its totient is φ = 346253495424.

The previous prime is 1038784947247. The next prime is 1038784947271. The reversal of 1038784947264 is 4627494878301.

The square root of 1038784947264 is 1019208.

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

1038784947264 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 78 + 494 + 72 + 6 + 4 = 666.

It is a super-2 number, since 2×1038784947264² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 24439759 + ... + 24482225.

Almost surely, 2^{1038784947264} is an apocalyptic number.

1038784947264 is the 1019208-th square number.

It is an amenable number.

1038784947264 is an abundant number, since it is smaller than the sum of its proper divisors (1938774660343).

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

1038784947264 is an frugal number, since it uses more digits than its factorization.

1038784947264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84952 (or 42472 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 1038784947264 in words is "one trillion, thirty-eight billion, seven hundred eighty-four million, nine hundred forty-seven thousand, two hundred sixty-four".