10242636969744 has 45 divisors (see below), whose sum is σ = 28665265111509. Its totient is φ = 3414199521600.

The previous prime is 10242636969707. The next prime is 10242636969769. The reversal of 10242636969744 is 44796963624201.

The square root of 10242636969744 is 3200412.

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

10242636969744 is a `hidden beast` number, since 1 + 0 + 2 + 426 + 36 + 96 + 97 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4804039843344 + 5438597126400 = 2191812^2 + 2332080^2 .

It is a super-2 number, since 2×10242636969744² (a number of 27 digits) contains 22 as substring.

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, 38271594 + ... + 38538294.

Almost surely, 2^{10242636969744} is an apocalyptic number.

10242636969744 is the 3200412-nd square number.

It is an amenable number.

10242636969744 is an abundant number, since it is smaller than the sum of its proper divisors (18422628141765).

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

10242636969744 is an frugal number, since it uses more digits than its factorization.

10242636969744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533416 (or 266706 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 10242636969744 in words is "ten trillion, two hundred forty-two billion, six hundred thirty-six million, nine hundred sixty-nine thousand, seven hundred forty-four".