33364664136 has 96 divisors (see below), whose sum is σ = 93122265600. Its totient is φ = 10785166080.

The previous prime is 33364664119. The next prime is 33364664143. The reversal of 33364664136 is 63146646333.

It is a super-2 number, since 2×33364664136² (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 = 33364664091 and 33364664100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 459145 + ... + 526823.

It is an arithmetic number, because the mean of its divisors is an integer number (970023600).

Almost surely, 2^33364664136 is an apocalyptic number.

33364664136 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 33364664136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46561132800).

33364664136 is an abundant number, since it is smaller than the sum of its proper divisors (59757601464).

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

33364664136 is a wasteful number, since it uses less digits than its factorization.

33364664136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67899 (or 67892 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 45.

The spelling of 33364664136 in words is "thirty-three billion, three hundred sixty-four million, six hundred sixty-four thousand, one hundred thirty-six".