348652854144 has 768 divisors, whose sum is σ = 1235239649280. Its totient is φ = 95814254592.

The previous prime is 348652854097. The next prime is 348652854163. The reversal of 348652854144 is 441458256843.

348652854144 is a `hidden beast` number, since 3 + 4 + 8 + 6 + 52 + 8 + 541 + 44 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 910320577 + ... + 910320959.

It is an arithmetic number, because the mean of its divisors is an integer number (1608384960).

Almost surely, 2^348652854144 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 348652854144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617619824640).

348652854144 is an abundant number, since it is smaller than the sum of its proper divisors (886586795136).

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

348652854144 is a wasteful number, since it uses less digits than its factorization.

348652854144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 545 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 54.

The spelling of 348652854144 in words is "three hundred forty-eight billion, six hundred fifty-two million, eight hundred fifty-four thousand, one hundred forty-four".