54172627145 has 128 divisors (see below), whose sum is σ = 85279703040. Its totient is φ = 32103244800.

The previous prime is 54172627133. The next prime is 54172627147.

It is a happy number.

54172627145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54172627145 - 2¹⁶ = 54172561609 is a prime.

Its product of digits (470400) is a multiple of the sum of its prime divisors (735).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 54172627096 and 54172627105.

It is not an unprimeable number, because it can be changed into a prime (54172627147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 113095016 + ... + 113095494.

It is an arithmetic number, because the mean of its divisors is an integer number (666247680).

Almost surely, 2^54172627145 is an apocalyptic number.

It is an amenable number.

54172627145 is a deficient number, since it is larger than the sum of its proper divisors (31107075895).

54172627145 is a wasteful number, since it uses less digits than its factorization.

54172627145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735.

The product of its digits is 470400, while the sum is 44.

The spelling of 54172627145 in words is "fifty-four billion, one hundred seventy-two million, six hundred twenty-seven thousand, one hundred forty-five".