34434498110257 has 12 divisors (see below), whose sum is σ = 42164691564720. Its totient is φ = 27961848088776.

The previous prime is 34434498110231. The next prime is 34434498110267. The reversal of 34434498110257 is 75201189443443.

It is not a de Polignac number, because 34434498110257 - 2¹⁵ = 34434498077489 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34434498110198 and 34434498110207.

It is not an unprimeable number, because it can be changed into a prime (34434498110267) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18493284843 + ... + 18493286704.

It is an arithmetic number, because the mean of its divisors is an integer number (3513724297060).

Almost surely, 2^{34434498110257} is an apocalyptic number.

It is an amenable number.

34434498110257 is a deficient number, since it is larger than the sum of its proper divisors (7730193454463).

34434498110257 is a wasteful number, since it uses less digits than its factorization.

34434498110257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36986571580 (or 36986571573 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 55.

The spelling of 34434498110257 in words is "thirty-four trillion, four hundred thirty-four billion, four hundred ninety-eight million, one hundred ten thousand, two hundred fifty-seven".