221545104000 has 512 divisors, whose sum is σ = 807555640320. Its totient is φ = 53281280000.

The previous prime is 221545103993. The next prime is 221545104023. The reversal of 221545104000 is 401545122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69166399 + ... + 69169601.

It is an arithmetic number, because the mean of its divisors is an integer number (1577257110).

Almost surely, 2^221545104000 is an apocalyptic number.

221545104000 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 221545104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403777820160).

221545104000 is an abundant number, since it is smaller than the sum of its proper divisors (586010536320).

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

221545104000 is a wasteful number, since it uses less digits than its factorization.

221545104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3377 (or 3355 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 221545104000 its reverse (401545122), we get a palindrome (221946649122).

The spelling of 221545104000 in words is "two hundred twenty-one billion, five hundred forty-five million, one hundred four thousand".