33444786816 has 256 divisors, whose sum is σ = 113321184000. Its totient is φ = 9512349696.

The previous prime is 33444786799. The next prime is 33444786827. The reversal of 33444786816 is 61868744433.

It is a super-2 number, since 2×33444786816² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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, 5536950 + ... + 5542986.

It is an arithmetic number, because the mean of its divisors is an integer number (442660875).

Almost surely, 2^33444786816 is an apocalyptic number.

33444786816 is a gapful number since it is divisible by the number (36) 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 33444786816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56660592000).

33444786816 is an abundant number, since it is smaller than the sum of its proper divisors (79876397184).

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

33444786816 is a wasteful number, since it uses less digits than its factorization.

33444786816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6296 (or 6278 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 33444786816 in words is "thirty-three billion, four hundred forty-four million, seven hundred eighty-six thousand, eight hundred sixteen".