33142631808 has 192 divisors, whose sum is σ = 104211298800. Its totient is φ = 9270497280.

The previous prime is 33142631783. The next prime is 33142631897. The reversal of 33142631808 is 80813624133.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (39).

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 23 ways as a sum of consecutive naturals, for example, 576598 + ... + 631466.

Almost surely, 2^33142631808 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 33142631808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52105649400).

33142631808 is an abundant number, since it is smaller than the sum of its proper divisors (71068666992).

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

33142631808 is a wasteful number, since it uses less digits than its factorization.

33142631808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54921 (or 54898 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 33142631808 in words is "thirty-three billion, one hundred forty-two million, six hundred thirty-one thousand, eight hundred eight".