46286132256 has 720 divisors, whose sum is σ = 174712487040. Its totient is φ = 11522165760.

The previous prime is 46286132251. The next prime is 46286132273. The reversal of 46286132256 is 65223168264.

46286132256 is a `hidden beast` number, since 4 + 6 + 2 + 8 + 613 + 2 + 25 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (46286132251) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 170797401 + ... + 170797671.

It is an arithmetic number, because the mean of its divisors is an integer number (242656232).

Almost surely, 2^46286132256 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 46286132256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87356243520).

46286132256 is an abundant number, since it is smaller than the sum of its proper divisors (128426354784).

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

46286132256 is a wasteful number, since it uses less digits than its factorization.

46286132256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 315 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 46286132256 in words is "forty-six billion, two hundred eighty-six million, one hundred thirty-two thousand, two hundred fifty-six".