54114641145 has 48 divisors (see below), whose sum is σ = 101190250512. Its totient is φ = 26650890240.

The previous prime is 54114641123. The next prime is 54114641173.

54114641145 is a `hidden beast` number, since 5 + 4 + 1 + 1 + 4 + 641 + 1 + 4 + 5 = 666.

54114641145 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 3278822121 + 50835819024 = 57261^2 + 225468^2 .

It is not a de Polignac number, because 54114641145 - 2⁹ = 54114640633 is a prime.

It is a super-2 number, since 2×54114641145² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 626796 + ... + 707885.

It is an arithmetic number, because the mean of its divisors is an integer number (2108130219).

Almost surely, 2^54114641145 is an apocalyptic number.

It is an amenable number.

54114641145 is a deficient number, since it is larger than the sum of its proper divisors (47075609367).

54114641145 is a wasteful number, since it uses less digits than its factorization.

54114641145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334762 (or 1334759 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The spelling of 54114641145 in words is "fifty-four billion, one hundred fourteen million, six hundred forty-one thousand, one hundred forty-five".