34318142340456 has 128 divisors (see below), whose sum is σ = 92627005161600. Its totient is φ = 10532930150400.

The previous prime is 34318142340439. The next prime is 34318142340527. The reversal of 34318142340456 is 65404324181343.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 408074860 + ... + 408158948.

It is an arithmetic number, because the mean of its divisors is an integer number (723648477825).

Almost surely, 2^{34318142340456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34318142340456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46313502580800).

34318142340456 is an abundant number, since it is smaller than the sum of its proper divisors (58308862821144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34318142340456 is a wasteful number, since it uses less digits than its factorization.

34318142340456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87379 (or 87375 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 34318142340456 in words is "thirty-four trillion, three hundred eighteen billion, one hundred forty-two million, three hundred forty thousand, four hundred fifty-six".