5182815456 has 720 divisors, whose sum is σ = 19806749424. Its totient is φ = 1316818944.

The previous prime is 5182815427. The next prime is 5182815457. The reversal of 5182815456 is 6545182815.

5182815456 is a `hidden beast` number, since 5 + 182 + 8 + 15 + 456 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5182815457) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 70997436 + ... + 70997508.

Almost surely, 2^5182815456 is an apocalyptic number.

5182815456 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 5182815456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9903374712).

5182815456 is an abundant number, since it is smaller than the sum of its proper divisors (14623933968).

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

5182815456 is a wasteful number, since it uses less digits than its factorization.

5182815456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 141 counting only the distinct ones).

The product of its digits is 384000, while the sum is 45.

The square root of 5182815456 is about 71991.7735300361. The cubic root of 5182815456 is about 1730.5676527165.

The spelling of 5182815456 in words is "five billion, one hundred eighty-two million, eight hundred fifteen thousand, four hundred fifty-six".