221261726414420 has 24 divisors (see below), whose sum is σ = 464704207012584. Its totient is φ = 88494294081536.

The previous prime is 221261726414411. The next prime is 221261726414453. The reversal of 221261726414420 is 24414627162122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 133331084360464 + 87930642053956 = 11546908^2 + 9377134^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 649605749 + ... + 649946268.

It is an arithmetic number, because the mean of its divisors is an integer number (19362675292191).

Almost surely, 2^{221261726414420} is an apocalyptic number.

221261726414420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221261726414420 is an abundant number, since it is smaller than the sum of its proper divisors (243442480598164).

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

221261726414420 is a wasteful number, since it uses less digits than its factorization.

221261726414420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299560539 (or 1299560537 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 44.

The spelling of 221261726414420 in words is "two hundred twenty-one trillion, two hundred sixty-one billion, seven hundred twenty-six million, four hundred fourteen thousand, four hundred twenty".