22722346684224 has 448 divisors, whose sum is σ = 76667195001600. Its totient is φ = 6536053555200.

The previous prime is 22722346684217. The next prime is 22722346684241. The reversal of 22722346684224 is 42248664322722.

22722346684224 is a `hidden beast` number, since 2 + 2 + 72 + 2 + 346 + 6 + 8 + 4 + 224 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28441132 + ... + 29229140.

It is an arithmetic number, because the mean of its divisors is an integer number (171132131700).

Almost surely, 2^{22722346684224} is an apocalyptic number.

22722346684224 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 22722346684224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38333597500800).

22722346684224 is an abundant number, since it is smaller than the sum of its proper divisors (53944848317376).

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

22722346684224 is a wasteful number, since it uses less digits than its factorization.

22722346684224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788119 (or 788103 counting only the distinct ones).

The product of its digits is 24772608, while the sum is 54.

The spelling of 22722346684224 in words is "twenty-two trillion, seven hundred twenty-two billion, three hundred forty-six million, six hundred eighty-four thousand, two hundred twenty-four".