221016441634000 has 80 divisors (see below), whose sum is σ = 538625770315776. Its totient is φ = 87710461776000.

The previous prime is 221016441633991. The next prime is 221016441634007. The reversal of 221016441634000 is 436144610122.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221016441634007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 434817736 + ... + 435325735.

Almost surely, 2^{221016441634000} is an apocalyptic number.

221016441634000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221016441634000 is an abundant number, since it is smaller than the sum of its proper divisors (317609328681776).

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

221016441634000 is a wasteful number, since it uses less digits than its factorization.

221016441634000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870143621 (or 870143605 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 221016441634000 in words is "two hundred twenty-one trillion, sixteen billion, four hundred forty-one million, six hundred thirty-four thousand".