46668855886664 has 64 divisors (see below), whose sum is σ = 95511355027200. Its totient is φ = 21201489676800.

The previous prime is 46668855886663. The next prime is 46668855886817.

46668855886664 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×46668855886664² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46668855886663) 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, 2517053234 + ... + 2517071774.

It is an arithmetic number, because the mean of its divisors is an integer number (1492364922300).

Almost surely, 2^{46668855886664} is an apocalyptic number.

46668855886664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46668855886664 is an abundant number, since it is smaller than the sum of its proper divisors (48842499140536).

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

46668855886664 is a wasteful number, since it uses less digits than its factorization.

46668855886664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32694 (or 32690 counting only the distinct ones).

The product of its digits is 76441190400, while the sum is 86.

The spelling of 46668855886664 in words is "forty-six trillion, six hundred sixty-eight billion, eight hundred fifty-five million, eight hundred eighty-six thousand, six hundred sixty-four".