221432859648 has 1584 divisors, whose sum is σ = 913299738624. Its totient is φ = 52672757760.

The previous prime is 221432859643. The next prime is 221432859707. The reversal of 221432859648 is 846958234122.

221432859648 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 3 + 2 + 8 + 596 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-2 number, since 2×221432859648² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 221432859594 and 221432859603.

It is not an unprimeable number, because it can be changed into a prime (221432859643) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1743565761 + ... + 1743565887.

Almost surely, 2^221432859648 is an apocalyptic number.

221432859648 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 221432859648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456649869312).

221432859648 is an abundant number, since it is smaller than the sum of its proper divisors (691866878976).

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

221432859648 is a wasteful number, since it uses less digits than its factorization.

221432859648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 163 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 221432859648 in words is "two hundred twenty-one billion, four hundred thirty-two million, eight hundred fifty-nine thousand, six hundred forty-eight".