54496512 has 216 divisors, whose sum is σ = 187066880. Its totient is φ = 14929920.

The previous prime is 54496511. The next prime is 54496549. The reversal of 54496512 is 21569445.

54496512 is a `hidden beast` number, since 54 + 4 + 96 + 512 = 666.

It is a super-2 number, since 2×54496512² = 5939739640332288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54496511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499914 + ... + 500022.

Almost surely, 2^54496512 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 54496512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93533440).

54496512 is an abundant number, since it is smaller than the sum of its proper divisors (132570368).

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

54496512 is a wasteful number, since it uses less digits than its factorization.

54496512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 152 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 54496512 is about 7382.1752891678. The cubic root of 54496512 is about 379.1312378656.

The spelling of 54496512 in words is "fifty-four million, four hundred ninety-six thousand, five hundred twelve".