46256432768 has 192 divisors, whose sum is σ = 115814298600. Its totient is φ = 18240380928.

The previous prime is 46256432753. The next prime is 46256432771. The reversal of 46256432768 is 86723465264.

It can be written as a sum of positive squares in 4 ways, for example, as 24183982144 + 22072450624 = 155512^2 + 148568^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32369078 + ... + 32370506.

Almost surely, 2^46256432768 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 46256432768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57907149300).

46256432768 is an abundant number, since it is smaller than the sum of its proper divisors (69557865832).

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

46256432768 is a wasteful number, since it uses less digits than its factorization.

46256432768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867 (or 1848 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 53.

The spelling of 46256432768 in words is "forty-six billion, two hundred fifty-six million, four hundred thirty-two thousand, seven hundred sixty-eight".