33466400000 has 216 divisors, whose sum is σ = 91111855968. Its totient is φ = 12166400000.

The previous prime is 33466399999. The next prime is 33466400053. The reversal of 33466400000 is 466433.

It is a super-2 number, since 2×33466400000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8798099 + ... + 8801901.

It is an arithmetic number, because the mean of its divisors is an integer number (421814148).

Almost surely, 2^33466400000 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 33466400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45555927984).

33466400000 is an abundant number, since it is smaller than the sum of its proper divisors (57645455968).

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

33466400000 is an frugal number, since it uses more digits than its factorization.

33466400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3855 (or 3821 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 33466400000 its reverse (466433), we get a palindrome (33466866433).

The spelling of 33466400000 in words is "thirty-three billion, four hundred sixty-six million, four hundred thousand".