21329722792312 has 64 divisors (see below), whose sum is σ = 44070420476160. Its totient is φ = 9597306643200.

The previous prime is 21329722792241. The next prime is 21329722792321.

21329722792312 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 21329722792312.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 21939487 + ... + 22891057.

It is an arithmetic number, because the mean of its divisors is an integer number (688600319940).

Almost surely, 2^{21329722792312} is an apocalyptic number.

21329722792312 is a gapful number since it is divisible by the number (22) 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 21329722792312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22035210238080).

21329722792312 is an abundant number, since it is smaller than the sum of its proper divisors (22740697683848).

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

21329722792312 is a wasteful number, since it uses less digits than its factorization.

21329722792312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954164 (or 954160 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 52.

The spelling of 21329722792312 in words is "twenty-one trillion, three hundred twenty-nine billion, seven hundred twenty-two million, seven hundred ninety-two thousand, three hundred twelve".