54105577550145 has 128 divisors (see below), whose sum is σ = 109621964390400. Its totient is φ = 25080914649600.

The previous prime is 54105577550119. The next prime is 54105577550173.

54105577550145 is a `hidden beast` number, since 5 + 4 + 1 + 0 + 5 + 5 + 77 + 550 + 14 + 5 = 666.

54105577550145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54105577550145 - 2⁶ = 54105577550081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54105577550091 and 54105577550100.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3259300 + ... + 10901109.

It is an arithmetic number, because the mean of its divisors is an integer number (856421596800).

Almost surely, 2^{54105577550145} is an apocalyptic number.

54105577550145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54105577550145 is an abundant number, since it is smaller than the sum of its proper divisors (55516386840255).

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

54105577550145 is a wasteful number, since it uses less digits than its factorization.

54105577550145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14160548 (or 14160542 counting only the distinct ones).

The product of its (nonzero) digits is 12250000, while the sum is 54.

The spelling of 54105577550145 in words is "fifty-four trillion, one hundred five billion, five hundred seventy-seven million, five hundred fifty thousand, one hundred forty-five".