5723102404656 has 640 divisors, whose sum is σ = 20578549555200. Its totient is φ = 1482570915840.

The previous prime is 5723102404601. The next prime is 5723102404661. The reversal of 5723102404656 is 6564042013275.

5723102404656 is a `hidden beast` number, since 5 + 7 + 2 + 310 + 240 + 46 + 56 = 666.

It is a super-2 number, since 2×5723102404656² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2491554100 + ... + 2491556396.

It is an arithmetic number, because the mean of its divisors is an integer number (32153983680).

Almost surely, 2^{5723102404656} is an apocalyptic number.

5723102404656 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 5723102404656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10289274777600).

5723102404656 is an abundant number, since it is smaller than the sum of its proper divisors (14855447150544).

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

5723102404656 is a wasteful number, since it uses less digits than its factorization.

5723102404656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434 (or 3422 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 5723102404656 in words is "five trillion, seven hundred twenty-three billion, one hundred two million, four hundred four thousand, six hundred fifty-six".