221888249856 has 864 divisors, whose sum is σ = 828959080320. Its totient is φ = 57415827456.

The previous prime is 221888249839. The next prime is 221888249861. The reversal of 221888249856 is 658942888122.

221888249856 is a `hidden beast` number, since 2 + 2 + 18 + 8 + 82 + 498 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 221888249793 and 221888249802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4186570726 + ... + 4186570778.

It is an arithmetic number, because the mean of its divisors is an integer number (959443380).

Almost surely, 2^221888249856 is an apocalyptic number.

221888249856 is a gapful number since it is divisible by the number (26) 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 221888249856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414479540160).

221888249856 is an abundant number, since it is smaller than the sum of its proper divisors (607070830464).

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

221888249856 is an frugal number, since it uses more digits than its factorization.

221888249856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 78 counting only the distinct ones).

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

The spelling of 221888249856 in words is "two hundred twenty-one billion, eight hundred eighty-eight million, two hundred forty-nine thousand, eight hundred fifty-six".