54188288145 has 32 divisors (see below), whose sum is σ = 99442314240. Its totient is φ = 27968146560.

The previous prime is 54188288131. The next prime is 54188288177.

54188288145 is a `hidden beast` number, since 5 + 418 + 8 + 2 + 88 + 145 = 666.

54188288145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54188288145 - 2⁵ = 54188288113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54188288091 and 54188288100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6469924 + ... + 6478293.

It is an arithmetic number, because the mean of its divisors is an integer number (3107572320).

Almost surely, 2^54188288145 is an apocalyptic number.

It is an amenable number.

54188288145 is a deficient number, since it is larger than the sum of its proper divisors (45254026095).

54188288145 is a wasteful number, since it uses less digits than its factorization.

54188288145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12948262 (or 12948256 counting only the distinct ones).

The product of its digits is 3276800, while the sum is 54.

The spelling of 54188288145 in words is "fifty-four billion, one hundred eighty-eight million, two hundred eighty-eight thousand, one hundred forty-five".