34112455345413 has 48 divisors (see below), whose sum is σ = 50685250936320. Its totient is φ = 22099482028800.

The previous prime is 34112455345399. The next prime is 34112455345427. The reversal of 34112455345413 is 31454355421143.

34112455345413 is a `hidden beast` number, since 3 + 4 + 1 + 1 + 24 + 55 + 34 + 541 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (34112455345399) and next prime (34112455345427).

It is not a de Polignac number, because 34112455345413 - 2¹³ = 34112455337221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34112455343413) 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 47 ways as a sum of consecutive naturals, for example, 59864320 + ... + 60431462.

It is an arithmetic number, because the mean of its divisors is an integer number (1055942727840).

Almost surely, 2^{34112455345413} is an apocalyptic number.

It is an amenable number.

34112455345413 is a deficient number, since it is larger than the sum of its proper divisors (16572795590907).

34112455345413 is a wasteful number, since it uses less digits than its factorization.

34112455345413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568530 (or 568527 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The spelling of 34112455345413 in words is "thirty-four trillion, one hundred twelve billion, four hundred fifty-five million, three hundred forty-five thousand, four hundred thirteen".