54979497945 has 96 divisors (see below), whose sum is σ = 98130293664. Its totient is φ = 28466380800.

The previous prime is 54979497941. The next prime is 54979497961.

54979497945 is a `hidden beast` number, since 5 + 4 + 97 + 9 + 497 + 9 + 45 = 666.

54979497945 is nontrivially palindromic in base 10.

54979497945 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 31061947536 + 23917550409 = 176244^2 + 154653^2 .

It is not a de Polignac number, because 54979497945 - 2² = 54979497941 is a prime.

Its product of digits (514382400) is a multiple of the sum of its prime divisors (1080).

It is not an unprimeable number, because it can be changed into a prime (54979497941) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83175915 + ... + 83176575.

It is an arithmetic number, because the mean of its divisors is an integer number (1022190559).

Almost surely, 2^54979497945 is an apocalyptic number.

It is an amenable number.

54979497945 is a deficient number, since it is larger than the sum of its proper divisors (43150795719).

54979497945 is a wasteful number, since it uses less digits than its factorization.

54979497945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1080 counting only the distinct ones).

The product of its digits is 514382400, while the sum is 72.

The spelling of 54979497945 in words is "fifty-four billion, nine hundred seventy-nine million, four hundred ninety-seven thousand, nine hundred forty-five".