54356277265345 has 12 divisors (see below), whose sum is σ = 71696378939220. Its totient is φ = 39531838010720.

The previous prime is 54356277265337. The next prime is 54356277265349.

54356277265345 is nontrivially palindromic in base 10.

54356277265345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 25146132926464 + 29210144338881 = 5014592^2 + 5404641^2 .

It is not a de Polignac number, because 54356277265345 - 2³ = 54356277265337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54356277265349) 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 11 ways as a sum of consecutive naturals, for example, 44922542590 + ... + 44922543799.

It is an arithmetic number, because the mean of its divisors is an integer number (5974698244935).

Almost surely, 2^{54356277265345} is an apocalyptic number.

54356277265345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54356277265345 is a deficient number, since it is larger than the sum of its proper divisors (17340101673875).

54356277265345 is a wasteful number, since it uses less digits than its factorization.

54356277265345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89845086416 (or 89845086405 counting only the distinct ones).

The product of its digits is 635040000, while the sum is 64.

The spelling of 54356277265345 in words is "fifty-four trillion, three hundred fifty-six billion, two hundred seventy-seven million, two hundred sixty-five thousand, three hundred forty-five".