33142264056 has 96 divisors (see below), whose sum is σ = 97984598400. Its totient is φ = 10036518720.

The previous prime is 33142264013. The next prime is 33142264073. The reversal of 33142264056 is 65046224133.

33142264056 is a `hidden beast` number, since 3 + 3 + 1 + 4 + 2 + 2 + 640 + 5 + 6 = 666.

It is a super-2 number, since 2×33142264056² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 33142264056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1269325 + ... + 1295171.

It is an arithmetic number, because the mean of its divisors is an integer number (1020672900).

Almost surely, 2^33142264056 is an apocalyptic number.

33142264056 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 33142264056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48992299200).

33142264056 is an abundant number, since it is smaller than the sum of its proper divisors (64842334344).

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

33142264056 is a wasteful number, since it uses less digits than its factorization.

33142264056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27489 (or 27482 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 33142264056 its reverse (65046224133), we get a palindrome (98188488189).

The spelling of 33142264056 in words is "thirty-three billion, one hundred forty-two million, two hundred sixty-four thousand, fifty-six".