46622733722664 has 256 divisors, whose sum is σ = 138991284633600. Its totient is φ = 12866636083200.

The previous prime is 46622733722641. The next prime is 46622733722707.

46622733722664 is nontrivially palindromic in base 10.

46622733722664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 46622733722598 and 46622733722607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1913971717 + ... + 1913996075.

It is an arithmetic number, because the mean of its divisors is an integer number (542934705600).

Almost surely, 2^{46622733722664} is an apocalyptic number.

46622733722664 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 46622733722664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69495642316800).

46622733722664 is an abundant number, since it is smaller than the sum of its proper divisors (92368550910936).

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

46622733722664 is a wasteful number, since it uses less digits than its factorization.

46622733722664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38184 (or 38180 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 60.

The spelling of 46622733722664 in words is "forty-six trillion, six hundred twenty-two billion, seven hundred thirty-three million, seven hundred twenty-two thousand, six hundred sixty-four".