46633122133664 has 288 divisors, whose sum is σ = 107691599167488. Its totient is φ = 19793440972800.

The previous prime is 46633122133649. The next prime is 46633122133729.

46633122133664 is nontrivially palindromic in base 10.

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, 4991231777 + ... + 4991241119.

It is an arithmetic number, because the mean of its divisors is an integer number (373929163776).

Almost surely, 2^{46633122133664} is an apocalyptic number.

46633122133664 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 46633122133664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53845799583744).

46633122133664 is an abundant number, since it is smaller than the sum of its proper divisors (61058477033824).

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

46633122133664 is a wasteful number, since it uses less digits than its factorization.

46633122133664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9980 (or 9961 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 50.

It can be divided in two parts, 4663312 and 2133664, that added together give a palindrome (6796976).

The spelling of 46633122133664 in words is "forty-six trillion, six hundred thirty-three billion, one hundred twenty-two million, one hundred thirty-three thousand, six hundred sixty-four".