348229576270464 has 2048 divisors, whose sum is σ = 1208270131200000. Its totient is φ = 88402835275776.

The previous prime is 348229576270463. The next prime is 348229576270493. The reversal of 348229576270464 is 464072675922843.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (348229576270463) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 851417056692 + ... + 851417057100.

It is an arithmetic number, because the mean of its divisors is an integer number (589975650000).

Almost surely, 2^{348229576270464} is an apocalyptic number.

348229576270464 is a gapful number since it is divisible by the number (34) 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 348229576270464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604135065600000).

348229576270464 is an abundant number, since it is smaller than the sum of its proper divisors (860040554929536).

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

348229576270464 is a wasteful number, since it uses less digits than its factorization.

348229576270464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 69.

The spelling of 348229576270464 in words is "three hundred forty-eight trillion, two hundred twenty-nine billion, five hundred seventy-six million, two hundred seventy thousand, four hundred sixty-four".