54999945 has 192 divisors, whose sum is σ = 135851520. Its totient is φ = 20528640.

The previous prime is 54999943. The next prime is 55000013.

54999945 is a `hidden beast` number, since 549 + 9 + 9 + 94 + 5 = 666.

54999945 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54999945 - 2¹ = 54999943 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54999891 and 54999900.

It is not an unprimeable number, because it can be changed into a prime (54999943) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1486467 + ... + 1486503.

It is an arithmetic number, because the mean of its divisors is an integer number (707560).

Almost surely, 2^54999945 is an apocalyptic number.

54999945 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54999945 is an abundant number, since it is smaller than the sum of its proper divisors (80851575).

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

54999945 is a wasteful number, since it uses less digits than its factorization.

54999945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 76 counting only the distinct ones).

The product of its digits is 2624400, while the sum is 54.

The square root of 54999945 is about 7416.1947789955. The cubic root of 54999945 is about 380.2951193110.

It can be divided in two parts, 54 and 999945, that added together give a palindrome (999999).

The spelling of 54999945 in words is "fifty-four million, nine hundred ninety-nine thousand, nine hundred forty-five".