345557600656 has 80 divisors (see below), whose sum is σ = 697155379200. Its totient is φ = 165747715200.

The previous prime is 345557600621. The next prime is 345557600659. The reversal of 345557600656 is 656006755543.

It is a super-2 number, since 2×345557600656² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (345557600659) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49567251 + ... + 49574221.

It is an arithmetic number, because the mean of its divisors is an integer number (8714442240).

Almost surely, 2^345557600656 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 345557600656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348577689600).

345557600656 is an abundant number, since it is smaller than the sum of its proper divisors (351597778544).

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

345557600656 is a wasteful number, since it uses less digits than its factorization.

345557600656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7868 (or 7862 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 52.

The spelling of 345557600656 in words is "three hundred forty-five billion, five hundred fifty-seven million, six hundred thousand, six hundred fifty-six".