5704226017344 has 560 divisors, whose sum is σ = 17498980699200. Its totient is φ = 1836223893504.

The previous prime is 5704226017327. The next prime is 5704226017409. The reversal of 5704226017344 is 4437106224075.

5704226017344 is a `hidden beast` number, since 5 + 7 + 0 + 4 + 2 + 2 + 601 + 7 + 34 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5704226017344.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13613904367 + ... + 13613904785.

It is an arithmetic number, because the mean of its divisors is an integer number (31248179820).

Almost surely, 2^{5704226017344} is an apocalyptic number.

5704226017344 is a gapful number since it is divisible by the number (54) 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 5704226017344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8749490349600).

5704226017344 is an abundant number, since it is smaller than the sum of its proper divisors (11794754681856).

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

5704226017344 is a wasteful number, since it uses less digits than its factorization.

5704226017344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 5704226017344 in words is "five trillion, seven hundred four billion, two hundred twenty-six million, seventeen thousand, three hundred forty-four".