33014144142342 has 64 divisors (see below), whose sum is σ = 81986344715520. Its totient is φ = 9760279118400.

The previous prime is 33014144142263. The next prime is 33014144142367. The reversal of 33014144142342 is 24324144141033.

33014144142342 is a `hidden beast` number, since 3 + 3 + 0 + 1 + 4 + 1 + 4 + 414 + 234 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 33014144142297 and 33014144142306.

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 31 ways as a sum of consecutive naturals, for example, 677772808 + ... + 677821515.

It is an arithmetic number, because the mean of its divisors is an integer number (1281036636180).

Almost surely, 2^{33014144142342} is an apocalyptic number.

33014144142342 is an abundant number, since it is smaller than the sum of its proper divisors (48972200573178).

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

33014144142342 is a wasteful number, since it uses less digits than its factorization.

33014144142342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355594386 (or 1355594380 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 33014144142342 its reverse (24324144141033), we get a palindrome (57338288283375).

The spelling of 33014144142342 in words is "thirty-three trillion, fourteen billion, one hundred forty-four million, one hundred forty-two thousand, three hundred forty-two".