221156400000 has 768 divisors, whose sum is σ = 801190595520. Its totient is φ = 53821440000.

The previous prime is 221156399977. The next prime is 221156400007. The reversal of 221156400000 is 4651122.

221156400000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 221156400000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221156400007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 754799854 + ... + 754800146.

Almost surely, 2^221156400000 is an apocalyptic number.

221156400000 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 221156400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400595297760).

221156400000 is an abundant number, since it is smaller than the sum of its proper divisors (580034195520).

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

221156400000 is an equidigital number, since it uses as much as digits as its factorization.

221156400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The spelling of 221156400000 in words is "two hundred twenty-one billion, one hundred fifty-six million, four hundred thousand".