33366136896 has 315 divisors, whose sum is σ = 103006737471. Its totient is φ = 10679268096.

The previous prime is 33366136889. The next prime is 33366136927. The reversal of 33366136896 is 69863166333.

It is a happy number.

The square root of 33366136896 is 182664.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×33366136896² (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 44 ways as a sum of consecutive naturals, for example, 565527715 + ... + 565527773.

Almost surely, 2^33366136896 is an apocalyptic number.

33366136896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

33366136896 is the 182664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33366136896

33366136896 is an abundant number, since it is smaller than the sum of its proper divisors (69640600575).

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

33366136896 is an frugal number, since it uses more digits than its factorization.

33366136896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 107 counting only the distinct ones).

The product of its digits is 7558272, while the sum is 54.

The spelling of 33366136896 in words is "thirty-three billion, three hundred sixty-six million, one hundred thirty-six thousand, eight hundred ninety-six".