22032144729504 has 960 divisors, whose sum is σ = 81362530529280. Its totient is φ = 5693741475840.

The previous prime is 22032144729481. The next prime is 22032144729601. The reversal of 22032144729504 is 40592744123022.

22032144729504 is a `hidden beast` number, since 2 + 2 + 0 + 32 + 1 + 44 + 72 + 9 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 22032144729504.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4606341897 + ... + 4606346679.

It is an arithmetic number, because the mean of its divisors is an integer number (84752635968).

Almost surely, 2^{22032144729504} is an apocalyptic number.

22032144729504 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 22032144729504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40681265264640).

22032144729504 is an abundant number, since it is smaller than the sum of its proper divisors (59330385799776).

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

22032144729504 is a wasteful number, since it uses less digits than its factorization.

22032144729504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5215 (or 5198 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 22032144729504 in words is "twenty-two trillion, thirty-two billion, one hundred forty-four million, seven hundred twenty-nine thousand, five hundred four".