46622355322664 has 128 divisors (see below), whose sum is σ = 97415264995200. Its totient is φ = 20740398243840.

The previous prime is 46622355322661. The next prime is 46622355322693.

46622355322664 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (46622355322661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1518776564 + ... + 1518807260.

It is an arithmetic number, because the mean of its divisors is an integer number (761056757775).

Almost surely, 2^{46622355322664} is an apocalyptic number.

46622355322664 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 46622355322664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48707632497600).

46622355322664 is an abundant number, since it is smaller than the sum of its proper divisors (50792909672536).

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

46622355322664 is a wasteful number, since it uses less digits than its factorization.

46622355322664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32443 (or 32439 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 56.

It can be divided in two parts, 4662235 and 5322664, that added together give a palindrome (9984899).

The spelling of 46622355322664 in words is "forty-six trillion, six hundred twenty-two billion, three hundred fifty-five million, three hundred twenty-two thousand, six hundred sixty-four".