221649093218304 has 208 divisors, whose sum is σ = 685208236483200. Its totient is φ = 70670724562944.

The previous prime is 221649093218291. The next prime is 221649093218321. The reversal of 221649093218304 is 403812390946122.

It is a happy number.

221649093218304 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 4 + 9 + 0 + 9 + 321 + 8 + 304 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41026069 + ... + 46113300.

Almost surely, 2^{221649093218304} is an apocalyptic number.

221649093218304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221649093218304 is an abundant number, since it is smaller than the sum of its proper divisors (463559143264896).

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

221649093218304 is an equidigital number, since it uses as much as digits as its factorization.

221649093218304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87139425 (or 87139397 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 221649093218304 in words is "two hundred twenty-one trillion, six hundred forty-nine billion, ninety-three million, two hundred eighteen thousand, three hundred four".