12345434634253 has 24 divisors (see below), whose sum is σ = 15238766249784. Its totient is φ = 9937738137600.

The previous prime is 12345434634107. The next prime is 12345434634301. The reversal of 12345434634253 is 35243643454321.

It can be written as a sum of positive squares in 4 ways, for example, as 134896802089 + 12210537832164 = 367283^2 + 3494358^2 .

It is a de Polignac number, because none of the positive numbers 2^k-12345434634253 is a prime.

It is a super-2 number, since 2×12345434634253² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 12345434634197 and 12345434634206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12345434634553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15690228 + ... + 16458253.

It is an arithmetic number, because the mean of its divisors is an integer number (634948593741).

Almost surely, 2^{12345434634253} is an apocalyptic number.

It is an amenable number.

12345434634253 is a deficient number, since it is larger than the sum of its proper divisors (2893331615531).

12345434634253 is a wasteful number, since it uses less digits than its factorization.

12345434634253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32148973 (or 32148966 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 49.

The spelling of 12345434634253 in words is "twelve trillion, three hundred forty-five billion, four hundred thirty-four million, six hundred thirty-four thousand, two hundred fifty-three".