348595335348480 has 864 divisors, whose sum is σ = 1397626407515520. Its totient is φ = 81593817661440.

The previous prime is 348595335348467. The next prime is 348595335348487. The reversal of 348595335348480 is 84843533595843.

348595335348480 is a `hidden beast` number, since 3 + 4 + 8 + 5 + 9 + 5 + 3 + 3 + 534 + 8 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 348595335348399 and 348595335348408.

It is not an unprimeable number, because it can be changed into a prime (348595335348487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 319169394 + ... + 320259726.

Almost surely, 2^{348595335348480} is an apocalyptic number.

348595335348480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348595335348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698813203757760).

348595335348480 is an abundant number, since it is smaller than the sum of its proper divisors (1049031072167040).

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

348595335348480 is a wasteful number, since it uses less digits than its factorization.

348595335348480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090432 (or 1090383 counting only the distinct ones).

The product of its (nonzero) digits is 2985984000, while the sum is 72.

The spelling of 348595335348480 in words is "three hundred forty-eight trillion, five hundred ninety-five billion, three hundred thirty-five million, three hundred forty-eight thousand, four hundred eighty".