34124423345253 has 48 divisors (see below), whose sum is σ = 52628444668800. Its totient is φ = 21232016363520.

The previous prime is 34124423345237. The next prime is 34124423345273. The reversal of 34124423345253 is 35254332442143.

34124423345253 is a `hidden beast` number, since 3 + 4 + 1 + 24 + 42 + 334 + 5 + 253 = 666.

It is not a de Polignac number, because 34124423345253 - 2⁴ = 34124423345237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34124423345199 and 34124423345208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34124423345273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16886773 + ... + 18799253.

It is an arithmetic number, because the mean of its divisors is an integer number (1096425930600).

Almost surely, 2^{34124423345253} is an apocalyptic number.

It is an amenable number.

34124423345253 is a deficient number, since it is larger than the sum of its proper divisors (18504021323547).

34124423345253 is a wasteful number, since it uses less digits than its factorization.

34124423345253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913482 (or 1913479 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 45.

Adding to 34124423345253 its reverse (35254332442143), we get a palindrome (69378755787396).

The spelling of 34124423345253 in words is "thirty-four trillion, one hundred twenty-four billion, four hundred twenty-three million, three hundred forty-five thousand, two hundred fifty-three".