33342261660416 has 144 divisors (see below), whose sum is σ = 72852398438400. Its totient is φ = 15169242009600.

The previous prime is 33342261660319. The next prime is 33342261660457. The reversal of 33342261660416 is 61406616224333.

It is a super-2 number, since 2×33342261660416² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26322911 + ... + 27560481.

It is an arithmetic number, because the mean of its divisors is an integer number (505919433600).

Almost surely, 2^{33342261660416} 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 33342261660416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36426199219200).

33342261660416 is an abundant number, since it is smaller than the sum of its proper divisors (39510136777984).

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

33342261660416 is a wasteful number, since it uses less digits than its factorization.

33342261660416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237826 (or 1237812 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 47.

Adding to 33342261660416 its reverse (61406616224333), we get a palindrome (94748877884749).

The spelling of 33342261660416 in words is "thirty-three trillion, three hundred forty-two billion, two hundred sixty-one million, six hundred sixty thousand, four hundred sixteen".