348511340464 has 160 divisors (see below), whose sum is σ = 794349158400. Its totient is φ = 148060281600.

The previous prime is 348511340461. The next prime is 348511340467. The reversal of 348511340464 is 464043115843.

It is an interprime number because it is at equal distance from previous prime (348511340461) and next prime (348511340467).

It is a self number, because there is not a number n which added to its sum of digits gives 348511340464.

It is not an unprimeable number, because it can be changed into a prime (348511340461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 527248294 + ... + 527248954.

It is an arithmetic number, because the mean of its divisors is an integer number (4964682240).

Almost surely, 2^348511340464 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 348511340464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397174579200).

348511340464 is an abundant number, since it is smaller than the sum of its proper divisors (445837817936).

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

348511340464 is a wasteful number, since it uses less digits than its factorization.

348511340464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 43.

The spelling of 348511340464 in words is "three hundred forty-eight billion, five hundred eleven million, three hundred forty thousand, four hundred sixty-four".