349468126656 has 336 divisors, whose sum is σ = 1051632566784. Its totient is φ = 102411302400.

The previous prime is 349468126639. The next prime is 349468126669. The reversal of 349468126656 is 656621864943.

It is a self number, because there is not a number n which added to its sum of digits gives 349468126656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245584761 + ... + 245586183.

Almost surely, 2^349468126656 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 349468126656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525816283392).

349468126656 is an abundant number, since it is smaller than the sum of its proper divisors (702164440128).

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

349468126656 is a wasteful number, since it uses less digits than its factorization.

349468126656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1470 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 60.

The spelling of 349468126656 in words is "three hundred forty-nine billion, four hundred sixty-eight million, one hundred twenty-six thousand, six hundred fifty-six".