221365888450560 has 2048 divisors, whose sum is σ = 951253632000000. Its totient is φ = 47712043008000.

The previous prime is 221365888450523. The next prime is 221365888450589. The reversal of 221365888450560 is 65054888563122.

221365888450560 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 6 + 58 + 88 + 450 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

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 127 ways as a sum of consecutive naturals, for example, 147675708691 + ... + 147675710189.

It is an arithmetic number, because the mean of its divisors is an integer number (464479312500).

Almost surely, 2^{221365888450560} is an apocalyptic number.

221365888450560 is a gapful number since it is divisible by the number (20) 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 221365888450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475626816000000).

221365888450560 is an abundant number, since it is smaller than the sum of its proper divisors (729887743549440).

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

221365888450560 is a wasteful number, since it uses less digits than its factorization.

221365888450560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 110592000, while the sum is 63.

The spelling of 221365888450560 in words is "two hundred twenty-one trillion, three hundred sixty-five billion, eight hundred eighty-eight million, four hundred fifty thousand, five hundred sixty".