221269902153216 has 640 divisors, whose sum is σ = 739574762471424. Its totient is φ = 57327760834560.

The previous prime is 221269902153203. The next prime is 221269902153241. The reversal of 221269902153216 is 612351209962122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1286164995 + ... + 1286337021.

Almost surely, 2^{221269902153216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221269902153216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369787381235712).

221269902153216 is an abundant number, since it is smaller than the sum of its proper divisors (518304860318208).

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

221269902153216 is a wasteful number, since it uses less digits than its factorization.

221269902153216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172330 (or 172314 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 221269902153216 in words is "two hundred twenty-one trillion, two hundred sixty-nine billion, nine hundred two million, one hundred fifty-three thousand, two hundred sixteen".