46516366656 has 168 divisors, whose sum is σ = 140522553600. Its totient is φ = 14671134720.

The previous prime is 46516366597. The next prime is 46516366679. The reversal of 46516366656 is 65666361564.

It is a super-3 number, since 3×46516366656³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10843360 + ... + 10847648.

Almost surely, 2^46516366656 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 46516366656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70261276800).

46516366656 is an abundant number, since it is smaller than the sum of its proper divisors (94006186944).

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

46516366656 is a wasteful number, since it uses less digits than its factorization.

46516366656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5317 (or 5304 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 54.

The spelling of 46516366656 in words is "forty-six billion, five hundred sixteen million, three hundred sixty-six thousand, six hundred fifty-six".