348488815512264 has 256 divisors, whose sum is σ = 1072549138268160. Its totient is φ = 92161704096000.

The previous prime is 348488815512247. The next prime is 348488815512283. The reversal of 348488815512264 is 462215518884843.

It is a happy number.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2394529179 + ... + 2394674709.

It is an arithmetic number, because the mean of its divisors is an integer number (4189645071360).

Almost surely, 2^{348488815512264} 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 348488815512264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536274569134080).

348488815512264 is an abundant number, since it is smaller than the sum of its proper divisors (724060322755896).

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

348488815512264 is a wasteful number, since it uses less digits than its factorization.

348488815512264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165592 (or 165588 counting only the distinct ones).

The product of its digits is 471859200, while the sum is 69.

The spelling of 348488815512264 in words is "three hundred forty-eight trillion, four hundred eighty-eight billion, eight hundred fifteen million, five hundred twelve thousand, two hundred sixty-four".