33661466560 has 112 divisors (see below), whose sum is σ = 83376893952. Its totient is φ = 12930278400.

The previous prime is 33661466519. The next prime is 33661466561. The reversal of 33661466560 is 6566416633.

It is a super-2 number, since 2×33661466560² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33661466560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33661466561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1286569 + ... + 1312471.

Almost surely, 2^33661466560 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 33661466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41688446976).

33661466560 is an abundant number, since it is smaller than the sum of its proper divisors (49715427392).

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

33661466560 is a wasteful number, since it uses less digits than its factorization.

33661466560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26082 (or 26072 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 46.

The spelling of 33661466560 in words is "thirty-three billion, six hundred sixty-one million, four hundred sixty-six thousand, five hundred sixty".