221860829564352 has 1344 divisors, whose sum is σ = 730150251038208. Its totient is φ = 64356282777600.

The previous prime is 221860829564303. The next prime is 221860829564419. The reversal of 221860829564352 is 253465928068122.

221860829564352 is a `hidden beast` number, since 2 + 2 + 1 + 8 + 60 + 8 + 2 + 9 + 564 + 3 + 5 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 221860829564352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 722673711783 + ... + 722673712089.

It is an arithmetic number, because the mean of its divisors is an integer number (543266555832).

Almost surely, 2^{221860829564352} is an apocalyptic number.

221860829564352 is a gapful number since it is divisible by the number (22) 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 221860829564352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365075125519104).

221860829564352 is an abundant number, since it is smaller than the sum of its proper divisors (508289421473856).

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

221860829564352 is a wasteful number, since it uses less digits than its factorization.

221860829564352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 221860829564352 in words is "two hundred twenty-one trillion, eight hundred sixty billion, eight hundred twenty-nine million, five hundred sixty-four thousand, three hundred fifty-two".