221141793600 has 1680 divisors, whose sum is σ = 1060255139328. Its totient is φ = 43874058240.

The previous prime is 221141793577. The next prime is 221141793601. The reversal of 221141793600 is 6397141122.

221141793600 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 41 + 7 + 9 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221141793601) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 200490649 + ... + 200491751.

Almost surely, 2^221141793600 is an apocalyptic number.

221141793600 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 221141793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530127569664).

221141793600 is an abundant number, since it is smaller than the sum of its proper divisors (839113345728).

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

221141793600 is a wasteful number, since it uses less digits than its factorization.

221141793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 221141793600 in words is "two hundred twenty-one billion, one hundred forty-one million, seven hundred ninety-three thousand, six hundred".