46654433445664 has 48 divisors (see below), whose sum is σ = 100208589173280. Its totient is φ = 21204954293760.

The previous prime is 46654433445611. The next prime is 46654433445671.

46654433445664 is nontrivially palindromic in base 10.

46654433445664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×46654433445664⁴ (a number of 56 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46654433445596 and 46654433445605.

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 7 ways as a sum of consecutive naturals, for example, 360189 + ... + 9666364.

It is an arithmetic number, because the mean of its divisors is an integer number (2087678941110).

Almost surely, 2^{46654433445664} is an apocalyptic number.

46654433445664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46654433445664 is an abundant number, since it is smaller than the sum of its proper divisors (53554155727616).

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

46654433445664 is a wasteful number, since it uses less digits than its factorization.

46654433445664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10039793 (or 10039785 counting only the distinct ones).

The product of its digits is 1194393600, while the sum is 64.

The spelling of 46654433445664 in words is "forty-six trillion, six hundred fifty-four billion, four hundred thirty-three million, four hundred forty-five thousand, six hundred sixty-four".