33456332616 has 128 divisors (see below), whose sum is σ = 100146831360. Its totient is φ = 9112435200.

The previous prime is 33456332597. The next prime is 33456332617. The reversal of 33456332616 is 61623365433.

It is a happy number.

It is a super-2 number, since 2×33456332616² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (33456332617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300996 + ... + 396876.

It is an arithmetic number, because the mean of its divisors is an integer number (782397120).

Almost surely, 2^33456332616 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 33456332616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50073415680).

33456332616 is an abundant number, since it is smaller than the sum of its proper divisors (66690498744).

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

33456332616 is a wasteful number, since it uses less digits than its factorization.

33456332616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95995 (or 95991 counting only the distinct ones).

The product of its digits is 699840, while the sum is 42.

The spelling of 33456332616 in words is "thirty-three billion, four hundred fifty-six million, three hundred thirty-two thousand, six hundred sixteen".