33389464896 has 140 divisors (see below), whose sum is σ = 99066438900. Its totient is φ = 11119749120.

The previous prime is 33389464879. The next prime is 33389464919. The reversal of 33389464896 is 69846498333.

33389464896 is a `hidden beast` number, since 3 + 3 + 3 + 89 + 464 + 8 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5846743296 + 27542721600 = 76464^2 + 165960^2 .

It is a super-2 number, since 2×33389464896² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7675330 + ... + 7679678.

Almost surely, 2^33389464896 is an apocalyptic number.

33389464896 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 33389464896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49533219450).

33389464896 is an abundant number, since it is smaller than the sum of its proper divisors (65676974004).

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

33389464896 is a wasteful number, since it uses less digits than its factorization.

33389464896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5854 (or 5835 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 63.

The spelling of 33389464896 in words is "thirty-three billion, three hundred eighty-nine million, four hundred sixty-four thousand, eight hundred ninety-six".