33980142345 has 16 divisors (see below), whose sum is σ = 54392264640. Its totient is φ = 18114730304.

The previous prime is 33980142337. The next prime is 33980142349. The reversal of 33980142345 is 54324108933.

It is a cyclic number.

It is not a de Polignac number, because 33980142345 - 2³ = 33980142337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 33980142297 and 33980142306.

It is not an unprimeable number, because it can be changed into a prime (33980142349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 465630 + ... + 533639.

It is an arithmetic number, because the mean of its divisors is an integer number (3399516540).

Almost surely, 2^33980142345 is an apocalyptic number.

It is an amenable number.

33980142345 is a deficient number, since it is larger than the sum of its proper divisors (20412122295).

33980142345 is a wasteful number, since it uses less digits than its factorization.

33980142345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001544.

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 33980142345 in words is "thirty-three billion, nine hundred eighty million, one hundred forty-two thousand, three hundred forty-five".