54535793841 has 81 divisors (see below), whose sum is σ = 88684262433. Its totient is φ = 32283048960.

The previous prime is 54535793821. The next prime is 54535793861. The reversal of 54535793841 is 14839753545.

It is a happy number.

The square root of 54535793841 is 233529.

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

54535793841 is a `hidden beast` number, since 5 + 4 + 535 + 79 + 38 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (54535793821) and next prime (54535793861).

It can be written as a sum of positive squares in 4 ways, for example, as 15369800625 + 39165993216 = 123975^2 + 197904^2 .

It is not a de Polignac number, because 54535793841 - 2⁹ = 54535793329 is a prime.

Its product of digits (9072000) is a multiple of the sum of its prime divisors (280).

It is not an unprimeable number, because it can be changed into a prime (54535793821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 226289481 + ... + 226289721.

Almost surely, 2^54535793841 is an apocalyptic number.

54535793841 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

54535793841 is the 233529-th square number.

54535793841 is the 116765-th centered octagonal number.

It is an amenable number.

54535793841 is a deficient number, since it is larger than the sum of its proper divisors (34148468592).

54535793841 is a wasteful number, since it uses less digits than its factorization.

54535793841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 280 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The spelling of 54535793841 in words is "fifty-four billion, five hundred thirty-five million, seven hundred ninety-three thousand, eight hundred forty-one".