221545371600000 has 1152 divisors, whose sum is σ = 914719847932800. Its totient is φ = 50414561280000.

The previous prime is 221545371599969. The next prime is 221545371600053. The reversal of 221545371600000 is 6173545122.

221545371600000 is a `hidden beast` number, since 2 + 2 + 1 + 5 + 45 + 3 + 7 + 1 + 600 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5720380636 + ... + 5720419364.

It is an arithmetic number, because the mean of its divisors is an integer number (794027645775).

Almost surely, 2^{221545371600000} is an apocalyptic number.

221545371600000 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 221545371600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457359923966400).

221545371600000 is an abundant number, since it is smaller than the sum of its proper divisors (693174476332800).

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

221545371600000 is an equidigital number, since it uses as much as digits as its factorization.

221545371600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39008 (or 38973 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 221545371600000 in words is "two hundred twenty-one trillion, five hundred forty-five billion, three hundred seventy-one million, six hundred thousand".