33842193138 has 48 divisors (see below), whose sum is σ = 80455054680. Its totient is φ = 10216507392.

The previous prime is 33842193113. The next prime is 33842193139. The reversal of 33842193138 is 83139124833.

33842193138 is a `hidden beast` number, since 3 + 3 + 8 + 421 + 93 + 138 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29643541929 + 4198651209 = 172173^2 + 64797^2 .

It is a super-2 number, since 2×33842193138² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33842193093 and 33842193102.

It is not an unprimeable number, because it can be changed into a prime (33842193139) by changing a digit.

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, 1351983 + ... + 1376786.

Almost surely, 2^33842193138 is an apocalyptic number.

33842193138 is an abundant number, since it is smaller than the sum of its proper divisors (46612861542).

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

33842193138 is a wasteful number, since it uses less digits than its factorization.

33842193138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728843 (or 2728840 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 33842193138 in words is "thirty-three billion, eight hundred forty-two million, one hundred ninety-three thousand, one hundred thirty-eight".