221143925882880 has 6144 divisors, whose sum is σ = 1108020230553600. Its totient is φ = 40819595673600.

The previous prime is 221143925882833. The next prime is 221143925882921. The reversal of 221143925882880 is 88288529341122.

221143925882880 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 43 + 9 + 2 + 588 + 2 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6144).

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

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1235440926631 + ... + 1235440926809.

It is an arithmetic number, because the mean of its divisors is an integer number (180341834400).

Almost surely, 2^{221143925882880} is an apocalyptic number.

221143925882880 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 221143925882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554010115276800).

221143925882880 is an abundant number, since it is smaller than the sum of its proper divisors (886876304670720).

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

221143925882880 is a wasteful number, since it uses less digits than its factorization.

221143925882880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 63.

The spelling of 221143925882880 in words is "two hundred twenty-one trillion, one hundred forty-three billion, nine hundred twenty-five million, eight hundred eighty-two thousand, eight hundred eighty".