54836764884225 has 81 divisors (see below), whose sum is σ = 99202274251977. Its totient is φ = 28956287560320.

The previous prime is 54836764884149. The next prime is 54836764884229. The reversal of 54836764884225 is 52248846763845.

The square root of 54836764884225 is 7405185.

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

54836764884225 is a `hidden beast` number, since 5 + 4 + 8 + 3 + 67 + 64 + 88 + 422 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3781224144369 + 51055540739856 = 1944537^2 + 7145316^2 .

It is not a de Polignac number, because 54836764884225 - 2⁴¹ = 52637741628673 is a prime.

It is a super-3 number, since 3×54836764884225³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (54836764884229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11441008429 + ... + 11441013221.

Almost surely, 2^{54836764884225} is an apocalyptic number.

54836764884225 is the 7405185-th square number.

54836764884225 is the 3702593-rd centered octagonal number.

It is an amenable number.

54836764884225 is a deficient number, since it is larger than the sum of its proper divisors (44365509367752).

54836764884225 is an frugal number, since it uses more digits than its factorization.

54836764884225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9808 (or 4904 counting only the distinct ones).

The product of its digits is 2477260800, while the sum is 72.

The spelling of 54836764884225 in words is "fifty-four trillion, eight hundred thirty-six billion, seven hundred sixty-four million, eight hundred eighty-four thousand, two hundred twenty-five".