469773763290225 has 81 divisors (see below), whose sum is σ = 842961222477153. Its totient is φ = 250087032852480.

The previous prime is 469773763290203. The next prime is 469773763290233. The reversal of 469773763290225 is 522092367377964.

The square root of 469773763290225 is 21674265.

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

469773763290225 is a `hidden beast` number, since 4 + 6 + 9 + 7 + 7 + 3 + 76 + 329 + 0 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29101806262881 + 440671957027344 = 5394609^2 + 20992188^2 .

It is not a de Polignac number, because 469773763290225 - 2²⁹ = 469773226419313 is a prime.

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, 250012645836 + ... + 250012647714.

Almost surely, 2^{469773763290225} is an apocalyptic number.

469773763290225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

469773763290225 is the 21674265-th square number.

469773763290225 is the 10837133-rd centered octagonal number.

It is an amenable number.

469773763290225 is a deficient number, since it is larger than the sum of its proper divisors (373187459186928).

469773763290225 is an frugal number, since it uses more digits than its factorization.

469773763290225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5312 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 1440270720, while the sum is 72.

The spelling of 469773763290225 in words is "four hundred sixty-nine trillion, seven hundred seventy-three billion, seven hundred sixty-three million, two hundred ninety thousand, two hundred twenty-five".