46662399326664 has 192 divisors, whose sum is σ = 139912944537600. Its totient is φ = 13930969852800.

The previous prime is 46662399326623. The next prime is 46662399326693.

46662399326664 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 46662399326592 and 46662399326601.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28163599 + ... + 29774369.

It is an arithmetic number, because the mean of its divisors is an integer number (728713252800).

Almost surely, 2^{46662399326664} is an apocalyptic number.

46662399326664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46662399326664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69956472268800).

46662399326664 is an abundant number, since it is smaller than the sum of its proper divisors (93250545210936).

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

46662399326664 is a wasteful number, since it uses less digits than its factorization.

46662399326664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611336 (or 1611329 counting only the distinct ones).

The product of its digits is 2176782336, while the sum is 72.

The spelling of 46662399326664 in words is "forty-six trillion, six hundred sixty-two billion, three hundred ninety-nine million, three hundred twenty-six thousand, six hundred sixty-four".