34214828043045 has 192 divisors, whose sum is σ = 60786974257920. Its totient is φ = 16420116750336.

The previous prime is 34214828043007. The next prime is 34214828043127. The reversal of 34214828043045 is 54034082841243.

It is not a de Polignac number, because 34214828043045 - 2¹⁹ = 34214827518757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34214828042985 and 34214828043003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16010681217 + ... + 16010683353.

It is an arithmetic number, because the mean of its divisors is an integer number (316598824260).

Almost surely, 2^{34214828043045} is an apocalyptic number.

It is an amenable number.

34214828043045 is a deficient number, since it is larger than the sum of its proper divisors (26572146214875).

34214828043045 is a wasteful number, since it uses less digits than its factorization.

34214828043045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936 (or 2923 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 48.

The spelling of 34214828043045 in words is "thirty-four trillion, two hundred fourteen billion, eight hundred twenty-eight million, forty-three thousand, forty-five".