21119254433761 has 81 divisors (see below), whose sum is σ = 24191122973913. Its totient is φ = 18423452298240.

The previous prime is 21119254433737. The next prime is 21119254433819. The reversal of 21119254433761 is 16733445291112.

The square root of 21119254433761 is 4595569.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5964627361 + 21113289806400 = 77231^2 + 4594920^2 .

It is not a de Polignac number, because 21119254433761 - 2²³ = 21119246045153 is a prime.

It is a Duffinian number.

Its product of digits (1088640) is a multiple of the sum of its prime divisors (240).

It is not an unprimeable number, because it can be changed into a prime (21119254433561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 217724272465 + ... + 217724272561.

Almost surely, 2^{21119254433761} is an apocalyptic number.

21119254433761 is the 4595569-th square number.

21119254433761 is the 2297785-th centered octagonal number.

It is an amenable number.

21119254433761 is a deficient number, since it is larger than the sum of its proper divisors (3071868540152).

21119254433761 is an frugal number, since it uses more digits than its factorization.

21119254433761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 240 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 49.

The spelling of 21119254433761 in words is "twenty-one trillion, one hundred nineteen billion, two hundred fifty-four million, four hundred thirty-three thousand, seven hundred sixty-one".