22021410684672 has 720 divisors, whose sum is σ = 79380794465280. Its totient is φ = 5935765929984.

The previous prime is 22021410684617. The next prime is 22021410684737. The reversal of 22021410684672 is 27648601412022.

22021410684672 is a `hidden beast` number, since 220 + 2 + 1 + 410 + 6 + 8 + 4 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×22021410684672² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 243665029 + ... + 243755387.

It is an arithmetic number, because the mean of its divisors is an integer number (110251103424).

Almost surely, 2^{22021410684672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22021410684672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39690397232640).

22021410684672 is an abundant number, since it is smaller than the sum of its proper divisors (57359383780608).

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

22021410684672 is an equidigital number, since it uses as much as digits as its factorization.

22021410684672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90490 (or 90467 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 22021410684672 in words is "twenty-two trillion, twenty-one billion, four hundred ten million, six hundred eighty-four thousand, six hundred seventy-two".