46077823456 has 144 divisors (see below), whose sum is σ = 109600192800. Its totient is φ = 18990763008.

The previous prime is 46077823433. The next prime is 46077823469. The reversal of 46077823456 is 65432877064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12230085 + ... + 12233851.

It is an arithmetic number, because the mean of its divisors is an integer number (761112450).

Almost surely, 2^46077823456 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 46077823456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54800096400).

46077823456 is an abundant number, since it is smaller than the sum of its proper divisors (63522369344).

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

46077823456 is a wasteful number, since it uses less digits than its factorization.

46077823456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4089 (or 4074 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 52.

The spelling of 46077823456 in words is "forty-six billion, seventy-seven million, eight hundred twenty-three thousand, four hundred fifty-six".