221898464256 has 352 divisors, whose sum is σ = 700408594432. Its totient is φ = 61119774720.

The previous prime is 221898464213. The next prime is 221898464321. The reversal of 221898464256 is 652464898122.

It is a junction number, because it is equal to n+sod(n) for n = 221898464196 and 221898464205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244650555 + ... + 244651461.

Almost surely, 2^221898464256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221898464256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350204297216).

221898464256 is an abundant number, since it is smaller than the sum of its proper divisors (478510130176).

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

221898464256 is a wasteful number, since it uses less digits than its factorization.

221898464256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1317 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 57.

The spelling of 221898464256 in words is "two hundred twenty-one billion, eight hundred ninety-eight million, four hundred sixty-four thousand, two hundred fifty-six".