221886374640 has 240 divisors, whose sum is σ = 834939560448. Its totient is φ = 48511744512.

The previous prime is 221886374639. The next prime is 221886374669. The reversal of 221886374640 is 46473688122.

221886374640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139692 + ... + 680651.

Almost surely, 2^221886374640 is an apocalyptic number.

221886374640 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 221886374640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417469780224).

221886374640 is an abundant number, since it is smaller than the sum of its proper divisors (613053185808).

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

221886374640 is a wasteful number, since it uses less digits than its factorization.

221886374640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820396 (or 820383 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 221886374640 in words is "two hundred twenty-one billion, eight hundred eighty-six million, three hundred seventy-four thousand, six hundred forty".