46677566577664 has 44 divisors (see below), whose sum is σ = 101792235945528. Its totient is φ = 21217075712000.

The previous prime is 46677566577643. The next prime is 46677566577673.

46677566577664 is nontrivially palindromic in base 10.

46677566577664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (44).

It is a super-2 number, since 2×46677566577664² (a number of 28 digits) contains 22 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 (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2071968787 + ... + 2071991314.

Almost surely, 2^{46677566577664} is an apocalyptic number.

46677566577664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46677566577664 is an abundant number, since it is smaller than the sum of its proper divisors (55114669367864).

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

46677566577664 is a wasteful number, since it uses less digits than its factorization.

46677566577664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4143960132 (or 4143960114 counting only the distinct ones).

The product of its digits is 44808422400, while the sum is 82.

The spelling of 46677566577664 in words is "forty-six trillion, six hundred seventy-seven billion, five hundred sixty-six million, five hundred seventy-seven thousand, six hundred sixty-four".