656314414080 has 1408 divisors, whose sum is σ = 2540428531200. Its totient is φ = 143042543616.

The previous prime is 656314414031. The next prime is 656314414127. The reversal of 656314414080 is 80414413656.

It is a super-2 number, since 2×656314414080² (a number of 24 digits) 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 127 ways as a sum of consecutive naturals, for example, 5808092104 + ... + 5808092216.

Almost surely, 2^656314414080 is an apocalyptic number.

656314414080 is a gapful number since it is divisible by the number (60) 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 656314414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270214265600).

656314414080 is an abundant number, since it is smaller than the sum of its proper divisors (1884114117120).

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

656314414080 is a wasteful number, since it uses less digits than its factorization.

656314414080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 656314414080 in words is "six hundred fifty-six billion, three hundred fourteen million, four hundred fourteen thousand, eighty".