221264421169600 has 168 divisors, whose sum is σ = 545549308899200. Its totient is φ = 88326980582400.

The previous prime is 221264421169543. The next prime is 221264421169601. The reversal of 221264421169600 is 6961124462122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221264421169601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2514581605 + ... + 2514669595.

Almost surely, 2^{221264421169600} is an apocalyptic number.

221264421169600 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 221264421169600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272774654449600).

221264421169600 is an abundant number, since it is smaller than the sum of its proper divisors (324284887729600).

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

221264421169600 is a wasteful number, since it uses less digits than its factorization.

221264421169600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91171 (or 91156 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 221264421169600 in words is "two hundred twenty-one trillion, two hundred sixty-four billion, four hundred twenty-one million, one hundred sixty-nine thousand, six hundred".