54645516 has 60 divisors (see below), whose sum is σ = 149085552. Its totient is φ = 17420832.

The previous prime is 54645509. The next prime is 54645527. The reversal of 54645516 is 61554645.

54645516 is a `hidden beast` number, since 5 + 4 + 645 + 5 + 1 + 6 = 666.

It is a super-2 number, since 2×54645516² = 5972264837812512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3786 + ... + 11118.

Almost surely, 2^54645516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54645516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74542776).

54645516 is an abundant number, since it is smaller than the sum of its proper divisors (94440036).

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

54645516 is a wasteful number, since it uses less digits than its factorization.

54645516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7372 (or 7361 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 54645516 is about 7392.2605473563. The cubic root of 54645516 is about 379.4764627874.

The spelling of 54645516 in words is "fifty-four million, six hundred forty-five thousand, five hundred sixteen".