2463313539456 has 2304 divisors, whose sum is σ = 10056638592000. Its totient is φ = 563634339840.

The previous prime is 2463313539439. The next prime is 2463313539487. The reversal of 2463313539456 is 6549353133642.

2463313539456 is a `hidden beast` number, since 2 + 4 + 63 + 3 + 1 + 3 + 539 + 45 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 22599206730 + ... + 22599206838.

It is an arithmetic number, because the mean of its divisors is an integer number (4364860500).

Almost surely, 2^{2463313539456} 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 2463313539456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5028319296000).

2463313539456 is an abundant number, since it is smaller than the sum of its proper divisors (7593325052544).

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

2463313539456 is a wasteful number, since it uses less digits than its factorization.

2463313539456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 227 counting only the distinct ones).

The product of its digits is 20995200, while the sum is 54.

The spelling of 2463313539456 in words is "two trillion, four hundred sixty-three billion, three hundred thirteen million, five hundred thirty-nine thousand, four hundred fifty-six".