33162022400 has 480 divisors, whose sum is σ = 98777115360. Its totient is φ = 10899947520.

The previous prime is 33162022363. The next prime is 33162022423. The reversal of 33162022400 is 422026133.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53746892 + ... + 53747508.

It is an arithmetic number, because the mean of its divisors is an integer number (205785657).

Almost surely, 2^33162022400 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 33162022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49388557680).

33162022400 is an abundant number, since it is smaller than the sum of its proper divisors (65615092960).

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

33162022400 is a wasteful number, since it uses less digits than its factorization.

33162022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 33162022400 its reverse (422026133), we get a palindrome (33584048533).

The spelling of 33162022400 in words is "thirty-three billion, one hundred sixty-two million, twenty-two thousand, four hundred".