352868587968 has 224 divisors, whose sum is σ = 1039243503424. Its totient is φ = 104963309568.

The previous prime is 352868587919. The next prime is 352868587979. The reversal of 352868587968 is 869785868253.

It is a self number, because there is not a number n which added to its sum of digits gives 352868587968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14487096 + ... + 14511432.

It is an arithmetic number, because the mean of its divisors is an integer number (4639479926).

Almost surely, 2^352868587968 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 352868587968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519621751712).

352868587968 is an abundant number, since it is smaller than the sum of its proper divisors (686374915456).

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

352868587968 is a wasteful number, since it uses less digits than its factorization.

352868587968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24559 (or 24549 counting only the distinct ones).

The product of its digits is 1393459200, while the sum is 75.

The spelling of 352868587968 in words is "three hundred fifty-two billion, eight hundred sixty-eight million, five hundred eighty-seven thousand, nine hundred sixty-eight".