22405356847104 has 576 divisors, whose sum is σ = 74705973511680. Its totient is φ = 5802735697920.

The previous prime is 22405356847073. The next prime is 22405356847127. The reversal of 22405356847104 is 40174865350422.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13110213802 + ... + 13110215510.

It is an arithmetic number, because the mean of its divisors is an integer number (129697870680).

Almost surely, 2^{22405356847104} is an apocalyptic number.

22405356847104 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 22405356847104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37352986755840).

22405356847104 is an abundant number, since it is smaller than the sum of its proper divisors (52300616664576).

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

22405356847104 is an equidigital number, since it uses as much as digits as its factorization.

22405356847104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 51.

The spelling of 22405356847104 in words is "twenty-two trillion, four hundred five billion, three hundred fifty-six million, eight hundred forty-seven thousand, one hundred four".