5641228656 has 120 divisors (see below), whose sum is σ = 18075033600. Its totient is φ = 1608916608.

The previous prime is 5641228633. The next prime is 5641228657. The reversal of 5641228656 is 6568221465.

5641228656 is a `hidden beast` number, since 564 + 1 + 2 + 2 + 86 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5641228657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 599121 + ... + 608463.

It is an arithmetic number, because the mean of its divisors is an integer number (150625280).

Almost surely, 2^5641228656 is an apocalyptic number.

5641228656 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 5641228656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9037516800).

5641228656 is an abundant number, since it is smaller than the sum of its proper divisors (12433804944).

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

5641228656 is a wasteful number, since it uses less digits than its factorization.

5641228656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9963 (or 9954 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 5641228656 is about 75108.1131170262. The cubic root of 5641228656 is about 1780.1553388820.

The spelling of 5641228656 in words is "five billion, six hundred forty-one million, two hundred twenty-eight thousand, six hundred fifty-six".