33339491136 has 784 divisors, whose sum is σ = 121531806720. Its totient is φ = 8868372480.

The previous prime is 33339491131. The next prime is 33339491149. The reversal of 33339491136 is 63119493333.

It is a super-2 number, since 2×33339491136² (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 junction number, because it is equal to n+sod(n) for n = 33339491091 and 33339491100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33339491131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 374600980 + ... + 374601068.

Almost surely, 2^33339491136 is an apocalyptic number.

33339491136 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 33339491136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60765903360).

33339491136 is an abundant number, since it is smaller than the sum of its proper divisors (88192315584).

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

33339491136 is an equidigital number, since it uses as much as digits as its factorization.

33339491136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 169 counting only the distinct ones).

The product of its digits is 472392, while the sum is 45.

The spelling of 33339491136 in words is "thirty-three billion, three hundred thirty-nine million, four hundred ninety-one thousand, one hundred thirty-six".