221919046272 has 1536 divisors, whose sum is σ = 883943424000. Its totient is φ = 54867456000.

The previous prime is 221919046207. The next prime is 221919046289. The reversal of 221919046272 is 272640919122.

221919046272 is a `hidden beast` number, since 2 + 2 + 1 + 9 + 19 + 0 + 4 + 627 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3638017122 + ... + 3638017182.

It is an arithmetic number, because the mean of its divisors is an integer number (575484000).

Almost surely, 2^221919046272 is an apocalyptic number.

221919046272 is a gapful number since it is divisible by the number (22) 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 221919046272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441971712000).

221919046272 is an abundant number, since it is smaller than the sum of its proper divisors (662024377728).

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

221919046272 is an equidigital number, since it uses as much as digits as its factorization.

221919046272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 221919046272 in words is "two hundred twenty-one billion, nine hundred nineteen million, forty-six thousand, two hundred seventy-two".