348432948864 has 2304 divisors, whose sum is σ = 1520952975360. Its totient is φ = 76590489600.

The previous prime is 348432948863. The next prime is 348432948947. The reversal of 348432948864 is 468849234843.

348432948864 is a `hidden beast` number, since 3 + 484 + 3 + 2 + 94 + 8 + 8 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (348432948863) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11239772529 + ... + 11239772559.

It is an arithmetic number, because the mean of its divisors is an integer number (660135840).

Almost surely, 2^348432948864 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 348432948864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760476487680).

348432948864 is an abundant number, since it is smaller than the sum of its proper divisors (1172520026496).

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

348432948864 is a wasteful number, since it uses less digits than its factorization.

348432948864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 86 counting only the distinct ones).

The product of its digits is 127401984, while the sum is 63.

The spelling of 348432948864 in words is "three hundred forty-eight billion, four hundred thirty-two million, nine hundred forty-eight thousand, eight hundred sixty-four".