33381216066624 has 448 divisors, whose sum is σ = 98377244098560. Its totient is φ = 9954640650240.

The previous prime is 33381216066623. The next prime is 33381216066629. The reversal of 33381216066624 is 42666061218333.

It is a super-2 number, since 2×33381216066624² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33381216066623) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 486083362 + ... + 486152030.

It is an arithmetic number, because the mean of its divisors is an integer number (219592062720).

Almost surely, 2^{33381216066624} 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 33381216066624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49188622049280).

33381216066624 is an abundant number, since it is smaller than the sum of its proper divisors (64996028031936).

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

33381216066624 is a wasteful number, since it uses less digits than its factorization.

33381216066624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68858 (or 68848 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 51.

The spelling of 33381216066624 in words is "thirty-three trillion, three hundred eighty-one billion, two hundred sixteen million, sixty-six thousand, six hundred twenty-four".