348477912834048 has 896 divisors, whose sum is σ = 1122003254592000. Its totient is φ = 106480030187520.

The previous prime is 348477912834011. The next prime is 348477912834053. The reversal of 348477912834048 is 840438219774843.

348477912834048 is a `hidden beast` number, since 3 + 4 + 8 + 477 + 91 + 28 + 3 + 4 + 0 + 48 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24181375963 + ... + 24181390373.

Almost surely, 2^{348477912834048} 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 348477912834048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561001627296000).

348477912834048 is an abundant number, since it is smaller than the sum of its proper divisors (773525341757952).

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

348477912834048 is a wasteful number, since it uses less digits than its factorization.

348477912834048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14631 (or 14601 counting only the distinct ones).

The product of its (nonzero) digits is 1040449536, while the sum is 72.

The spelling of 348477912834048 in words is "three hundred forty-eight trillion, four hundred seventy-seven billion, nine hundred twelve million, eight hundred thirty-four thousand, forty-eight".