46684611648664 has 64 divisors (see below), whose sum is σ = 101109531432960. Its totient is φ = 19971799626240.

The previous prime is 46684611648637. The next prime is 46684611648667.

46684611648664 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 46684611648593 and 46684611648602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46684611648667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245139609 + ... + 245329975.

It is an arithmetic number, because the mean of its divisors is an integer number (1579836428640).

Almost surely, 2^{46684611648664} is an apocalyptic number.

46684611648664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46684611648664 is an abundant number, since it is smaller than the sum of its proper divisors (54424919784296).

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

46684611648664 is a wasteful number, since it uses less digits than its factorization.

46684611648664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354328 (or 354324 counting only the distinct ones).

The product of its digits is 764411904, while the sum is 70.

The spelling of 46684611648664 in words is "forty-six trillion, six hundred eighty-four billion, six hundred eleven million, six hundred forty-eight thousand, six hundred sixty-four".