221514000000 has 224 divisors, whose sum is σ = 735506210400. Its totient is φ = 59068800000.

The previous prime is 221513999969. The next prime is 221514000023. The reversal of 221514000000 is 415122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5981541 + ... + 6018459.

Almost surely, 2^221514000000 is an apocalyptic number.

221514000000 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 221514000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367753105200).

221514000000 is an abundant number, since it is smaller than the sum of its proper divisors (513992210400).

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

221514000000 is an frugal number, since it uses more digits than its factorization.

221514000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36966 (or 36929 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 221514000000 its reverse (415122), we get a palindrome (221514415122).

The spelling of 221514000000 in words is "two hundred twenty-one billion, five hundred fourteen million", and thus it is an aban number.