221485700268 has 288 divisors, whose sum is σ = 708184270080. Its totient is φ = 59481838080.

The previous prime is 221485700207. The next prime is 221485700287. The reversal of 221485700268 is 862007584122.

221485700268 is a `hidden beast` number, since 2 + 2 + 14 + 8 + 570 + 0 + 2 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116142571 + ... + 116144477.

It is an arithmetic number, because the mean of its divisors is an integer number (2458973160).

Almost surely, 2^221485700268 is an apocalyptic number.

221485700268 is a gapful number since it is divisible by the number (28) 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 221485700268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354092135040).

221485700268 is an abundant number, since it is smaller than the sum of its proper divisors (486698569812).

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

221485700268 is a wasteful number, since it uses less digits than its factorization.

221485700268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3242 (or 3227 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 221485700268 in words is "two hundred twenty-one billion, four hundred eighty-five million, seven hundred thousand, two hundred sixty-eight".