46668477486664 has 24 divisors (see below), whose sum is σ = 96181417962630. Its totient is φ = 21212944311680.

The previous prime is 46668477486661. The next prime is 46668477486671.

46668477486664 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 36692797421764 + 9975680064900 = 6057458^2 + 3158430^2 .

It is not an unprimeable number, because it can be changed into a prime (46668477486661) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24105617569 + ... + 24105619504.

Almost surely, 2^{46668477486664} is an apocalyptic number.

46668477486664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46668477486664 is an abundant number, since it is smaller than the sum of its proper divisors (49512940475966).

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

46668477486664 is a wasteful number, since it uses less digits than its factorization.

46668477486664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48211237101 (or 48211237086 counting only the distinct ones).

The product of its digits is 37456183296, while the sum is 82.

The spelling of 46668477486664 in words is "forty-six trillion, six hundred sixty-eight billion, four hundred seventy-seven million, four hundred eighty-six thousand, six hundred sixty-four".