54358444485345 has 288 divisors, whose sum is σ = 120205339265664. Its totient is φ = 20732163379200.

The previous prime is 54358444485313. The next prime is 54358444485383.

54358444485345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54358444485345 - 2⁵ = 54358444485313 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 236266165 + ... + 236496125.

It is an arithmetic number, because the mean of its divisors is an integer number (417379650228).

Almost surely, 2^{54358444485345} is an apocalyptic number.

54358444485345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54358444485345 is an abundant number, since it is smaller than the sum of its proper divisors (65846894780319).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54358444485345 is a wasteful number, since it uses less digits than its factorization.

54358444485345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230193 (or 230173 counting only the distinct ones).

The product of its digits is 1474560000, while the sum is 66.

The spelling of 54358444485345 in words is "fifty-four trillion, three hundred fifty-eight billion, four hundred forty-four million, four hundred eighty-five thousand, three hundred forty-five".