21632344241664 has 160 divisors (see below), whose sum is σ = 62092675814400. Its totient is φ = 6652921946112.

The previous prime is 21632344241647. The next prime is 21632344241681. The reversal of 21632344241664 is 46614244323612.

It is an interprime number because it is at equal distance from previous prime (21632344241647) and next prime (21632344241681).

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41654769 + ... + 42170895.

It is an arithmetic number, because the mean of its divisors is an integer number (388079223840).

Almost surely, 2^{21632344241664} is an apocalyptic number.

21632344241664 is a gapful number since it is divisible by the number (24) 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 21632344241664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31046337907200).

21632344241664 is an abundant number, since it is smaller than the sum of its proper divisors (40460331572736).

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

21632344241664 is a wasteful number, since it uses less digits than its factorization.

21632344241664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518260 (or 518244 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 48.

The spelling of 21632344241664 in words is "twenty-one trillion, six hundred thirty-two billion, three hundred forty-four million, two hundred forty-one thousand, six hundred sixty-four".