656802145506 has 256 divisors, whose sum is σ = 1604477952000. Its totient is φ = 177219643392.

The previous prime is 656802145397. The next prime is 656802145541. The reversal of 656802145506 is 605541208656.

656802145506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 250973910 + ... + 250976526.

It is an arithmetic number, because the mean of its divisors is an integer number (6267492000).

Almost surely, 2^656802145506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 656802145506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802238976000).

656802145506 is an abundant number, since it is smaller than the sum of its proper divisors (947675806494).

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

656802145506 is a wasteful number, since it uses less digits than its factorization.

656802145506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2913.

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 656802145506 in words is "six hundred fifty-six billion, eight hundred two million, one hundred forty-five thousand, five hundred six".