33106132944 has 160 divisors (see below), whose sum is σ = 95923860480. Its totient is φ = 10931760000.

The previous prime is 33106132921. The next prime is 33106132993. The reversal of 33106132944 is 44923160133.

33106132944 is a `hidden beast` number, since 3 + 3 + 10 + 613 + 29 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 33106132899 and 33106132908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22878429 + ... + 22879875.

It is an arithmetic number, because the mean of its divisors is an integer number (599524128).

Almost surely, 2^33106132944 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 33106132944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47961930240).

33106132944 is an abundant number, since it is smaller than the sum of its proper divisors (62817727536).

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

33106132944 is a wasteful number, since it uses less digits than its factorization.

33106132944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 33106132944 in words is "thirty-three billion, one hundred six million, one hundred thirty-two thousand, nine hundred forty-four".