348135874560 has 784 divisors, whose sum is σ = 1276383802320. Its totient is φ = 91092418560.

The previous prime is 348135874507. The next prime is 348135874577. The reversal of 348135874560 is 65478531843.

348135874560 is a `hidden beast` number, since 3 + 4 + 8 + 1 + 3 + 5 + 8 + 74 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 348135874497 and 348135874506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2657525695 + ... + 2657525825.

Almost surely, 2^348135874560 is an apocalyptic number.

348135874560 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 348135874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638191901160).

348135874560 is an abundant number, since it is smaller than the sum of its proper divisors (928247927760).

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

348135874560 is an frugal number, since it uses more digits than its factorization.

348135874560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 348135874560 in words is "three hundred forty-eight billion, one hundred thirty-five million, eight hundred seventy-four thousand, five hundred sixty".