221334133416 has 64 divisors (see below), whose sum is σ = 629883717120. Its totient is φ = 64154819520.

The previous prime is 221334133411. The next prime is 221334133441. The reversal of 221334133416 is 614331433122.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (221334133411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18219730 + ... + 18231873.

It is an arithmetic number, because the mean of its divisors is an integer number (9841933080).

Almost surely, 2^221334133416 is an apocalyptic number.

It is an amenable number.

221334133416 is an abundant number, since it is smaller than the sum of its proper divisors (408549583704).

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

221334133416 is a wasteful number, since it uses less digits than its factorization.

221334133416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36451646 (or 36451642 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

Adding to 221334133416 its reverse (614331433122), we get a palindrome (835665566538).

The spelling of 221334133416 in words is "two hundred twenty-one billion, three hundred thirty-four million, one hundred thirty-three thousand, four hundred sixteen".