221314384512 has 768 divisors, whose sum is σ = 757856736000. Its totient is φ = 63764692992.

The previous prime is 221314384433. The next prime is 221314384549. The reversal of 221314384512 is 215483413122.

221314384512 is a `hidden beast` number, since 2 + 2 + 131 + 4 + 3 + 8 + 4 + 512 = 666.

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 95 ways as a sum of consecutive naturals, for example, 492904864 + ... + 492905312.

It is an arithmetic number, because the mean of its divisors is an integer number (986792625).

Almost surely, 2^221314384512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221314384512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378928368000).

221314384512 is an abundant number, since it is smaller than the sum of its proper divisors (536542351488).

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

221314384512 is a wasteful number, since it uses less digits than its factorization.

221314384512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 543 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

Adding to 221314384512 its reverse (215483413122), we get a palindrome (436797797634).

The spelling of 221314384512 in words is "two hundred twenty-one billion, three hundred fourteen million, three hundred eighty-four thousand, five hundred twelve".