22033821744480 has 3072 divisors, whose sum is σ = 97576283750400. Its totient is φ = 4130353446912.

The previous prime is 22033821744469. The next prime is 22033821744481. The reversal of 22033821744480 is 8444712833022.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22033821744481) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 94565758444 + ... + 94565758676.

It is an arithmetic number, because the mean of its divisors is an integer number (31763113200).

Almost surely, 2^{22033821744480} is an apocalyptic number.

22033821744480 is a gapful number since it is divisible by the number (20) 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 22033821744480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48788141875200).

22033821744480 is an abundant number, since it is smaller than the sum of its proper divisors (75542462005920).

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

22033821744480 is a wasteful number, since it uses less digits than its factorization.

22033821744480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 48.

The spelling of 22033821744480 in words is "twenty-two trillion, thirty-three billion, eight hundred twenty-one million, seven hundred forty-four thousand, four hundred eighty".