33814764144 has 220 divisors, whose sum is σ = 112334655856. Its totient is φ = 9659471616.

The previous prime is 33814764127. The next prime is 33814764157. The reversal of 33814764144 is 44146741833.

33814764144 is a `hidden beast` number, since 3 + 38 + 1 + 476 + 4 + 144 = 666.

It is a super-2 number, since 2×33814764144² (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 self number, because there is not a number n which added to its sum of digits gives 33814764144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 6610932 + ... + 6616044.

Almost surely, 2^33814764144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33814764144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56167327928).

33814764144 is an abundant number, since it is smaller than the sum of its proper divisors (78519891712).

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

33814764144 is an frugal number, since it uses more digits than its factorization.

33814764144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5158 (or 5125 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 33814764144 in words is "thirty-three billion, eight hundred fourteen million, seven hundred sixty-four thousand, one hundred forty-four".