1493997733264 has 135 divisors (see below), whose sum is σ = 3084782193961. Its totient is φ = 700911124480.

The previous prime is 1493997733247. The next prime is 1493997733273. The reversal of 1493997733264 is 4623377993941.

The square root of 1493997733264 is 1222292.

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

It can be written as a sum of positive squares in 13 ways, for example, as 568184288400 + 925813444864 = 753780^2 + 962192^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1493997733264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5813220624 + ... + 5813220880.

Almost surely, 2^{1493997733264} is an apocalyptic number.

1493997733264 is the 1222292-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1493997733264

1493997733264 is an abundant number, since it is smaller than the sum of its proper divisors (1590784460697).

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

1493997733264 is an frugal number, since it uses more digits than its factorization.

1493997733264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 329 counting only the distinct ones).

The product of its digits is 185177664, while the sum is 67.

The spelling of 1493997733264 in words is "one trillion, four hundred ninety-three billion, nine hundred ninety-seven million, seven hundred thirty-three thousand, two hundred sixty-four".