33142031946 has 24 divisors (see below), whose sum is σ = 71817226884. Its totient is φ = 11045883840.

The previous prime is 33142031929. The next prime is 33142031959. The reversal of 33142031946 is 64913024133.

33142031946 is a `hidden beast` number, since 3 + 314 + 20 + 319 + 4 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31449120921 + 1692911025 = 177339^2 + 41145^2 .

It is a super-3 number, since 3×33142031946³ (a number of 33 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 33142031946.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22936 + ... + 258476.

Almost surely, 2^33142031946 is an apocalyptic number.

33142031946 is an abundant number, since it is smaller than the sum of its proper divisors (38675194938).

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

33142031946 is a wasteful number, since it uses less digits than its factorization.

33142031946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243366 (or 243363 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 33142031946 in words is "thirty-three billion, one hundred forty-two million, thirty-one thousand, nine hundred forty-six".