33996181632 has 128 divisors (see below), whose sum is σ = 104743587840. Its totient is φ = 9568171008.

The previous prime is 33996181631. The next prime is 33996181649. The reversal of 33996181632 is 23618169933.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (33996181631) 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, 85713 + ... + 274479.

It is an arithmetic number, because the mean of its divisors is an integer number (818309280).

Almost surely, 2^33996181632 is an apocalyptic number.

33996181632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33996181632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52371793920).

33996181632 is an abundant number, since it is smaller than the sum of its proper divisors (70747406208).

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

33996181632 is a wasteful number, since it uses less digits than its factorization.

33996181632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188858 (or 188846 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 51.

The spelling of 33996181632 in words is "thirty-three billion, nine hundred ninety-six million, one hundred eighty-one thousand, six hundred thirty-two".