221341854097728 has 1680 divisors, whose sum is σ = 834612622018560. Its totient is φ = 57484414181376.

The previous prime is 221341854097717. The next prime is 221341854097739. The reversal of 221341854097728 is 827790458143122.

221341854097728 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 4 + 18 + 540 + 9 + 7 + 72 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (221341854097717) and next prime (221341854097739).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 58293875926 + ... + 58293879722.

It is an arithmetic number, because the mean of its divisors is an integer number (496793227392).

Almost surely, 2^{221341854097728} is an apocalyptic number.

221341854097728 is a gapful number since it is divisible by the number (28) 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 221341854097728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417306311009280).

221341854097728 is an abundant number, since it is smaller than the sum of its proper divisors (613270767920832).

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

221341854097728 is a wasteful number, since it uses less digits than its factorization.

221341854097728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4114 (or 4088 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 221341854097728 in words is "two hundred twenty-one trillion, three hundred forty-one billion, eight hundred fifty-four million, ninety-seven thousand, seven hundred twenty-eight".