33145905856 has 112 divisors (see below), whose sum is σ = 80128872000. Its totient is φ = 13279592448.

The previous prime is 33145905851. The next prime is 33145905857. The reversal of 33145905856 is 65850954133.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (33145905851) 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, 1120180 + ... + 1149388.

Almost surely, 2^33145905856 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 33145905856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40064436000).

33145905856 is an abundant number, since it is smaller than the sum of its proper divisors (46982966144).

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

33145905856 is a wasteful number, since it uses less digits than its factorization.

33145905856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29394 (or 29384 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 49.

The spelling of 33145905856 in words is "thirty-three billion, one hundred forty-five million, nine hundred five thousand, eight hundred fifty-six".