656133456 has 80 divisors (see below), whose sum is σ = 1853327808. Its totient is φ = 198374400.

The previous prime is 656133427. The next prime is 656133461. The reversal of 656133456 is 654331656.

It is a happy number.

656133456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×656133456² = 861022224165007872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284500 + ... + 286796.

Almost surely, 2^656133456 is an apocalyptic number.

656133456 is a gapful number since it is divisible by the number (66) 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 656133456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926663904).

656133456 is an abundant number, since it is smaller than the sum of its proper divisors (1197194352).

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

656133456 is a wasteful number, since it uses less digits than its factorization.

656133456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860 (or 2854 counting only the distinct ones).

The product of its digits is 194400, while the sum is 39.

The square root of 656133456 is about 25615.1021079362. The cubic root of 656133456 is about 868.9552156301.

The spelling of 656133456 in words is "six hundred fifty-six million, one hundred thirty-three thousand, four hundred fifty-six".