54368496 has 200 divisors, whose sum is σ = 194091744. Its totient is φ = 14307840.

The previous prime is 54368491. The next prime is 54368521. The reversal of 54368496 is 69486345.

54368496 is a `hidden beast` number, since 543 + 68 + 49 + 6 = 666.

Its product of digits (622080) is a multiple of the sum of its prime divisors (486).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54368491) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 117706 + ... + 118166.

Almost surely, 2^54368496 is an apocalyptic number.

54368496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54368496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97045872).

54368496 is an abundant number, since it is smaller than the sum of its proper divisors (139723248).

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

54368496 is a wasteful number, since it uses less digits than its factorization.

54368496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 486 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 54368496 is about 7373.4995761850. The cubic root of 54368496 is about 378.8341367831.

The spelling of 54368496 in words is "fifty-four million, three hundred sixty-eight thousand, four hundred ninety-six".