34451311315443 has 64 divisors (see below), whose sum is σ = 51533646753792. Its totient is φ = 20288328007680.

The previous prime is 34451311315423. The next prime is 34451311315459.

34451311315443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34451311315443 - 2¹⁷ = 34451311184371 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34451311315395 and 34451311315404.

It is not an unprimeable number, because it can be changed into a prime (34451311315423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4157267646 + ... + 4157275932.

It is an arithmetic number, because the mean of its divisors is an integer number (805213230528).

Almost surely, 2^{34451311315443} is an apocalyptic number.

34451311315443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34451311315443 is a deficient number, since it is larger than the sum of its proper divisors (17082335438349).

34451311315443 is a wasteful number, since it uses less digits than its factorization.

34451311315443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12444.

The product of its digits is 518400, while the sum is 42.

The spelling of 34451311315443 in words is "thirty-four trillion, four hundred fifty-one billion, three hundred eleven million, three hundred fifteen thousand, four hundred forty-three".