46632333323664 has 960 divisors, whose sum is σ = 154478712729600. Its totient is φ = 13348916121600.

The previous prime is 46632333323657. The next prime is 46632333323711.

46632333323664 is a `hidden beast` number, since 46 + 6 + 3 + 233 + 3 + 3 + 2 + 366 + 4 = 666.

46632333323664 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×46632333323664² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 46632333323664.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 95754277629 + ... + 95754278115.

It is an arithmetic number, because the mean of its divisors is an integer number (160915325760).

Almost surely, 2^{46632333323664} is an apocalyptic number.

46632333323664 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 46632333323664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77239356364800).

46632333323664 is an abundant number, since it is smaller than the sum of its proper divisors (107846379405936).

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

46632333323664 is a wasteful number, since it uses less digits than its factorization.

46632333323664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 940 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 54.

It can be divided in two parts, 4663233 and 3323664, that added together give a palindrome (7986897).

The spelling of 46632333323664 in words is "forty-six trillion, six hundred thirty-two billion, three hundred thirty-three million, three hundred twenty-three thousand, six hundred sixty-four".