352398282912 has 384 divisors, whose sum is σ = 1205348256000. Its totient is φ = 99179458560.

The previous prime is 352398282877. The next prime is 352398282949. The reversal of 352398282912 is 219282893253.

352398282912 is a `hidden beast` number, since 3 + 523 + 9 + 8 + 28 + 2 + 91 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6160362 + ... + 6217302.

It is an arithmetic number, because the mean of its divisors is an integer number (3138927750).

Almost surely, 2^352398282912 is an apocalyptic number.

352398282912 is a gapful number since it is divisible by the number (32) 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 352398282912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602674128000).

352398282912 is an abundant number, since it is smaller than the sum of its proper divisors (852949973088).

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

352398282912 is a wasteful number, since it uses less digits than its factorization.

352398282912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57021 (or 57007 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 352398282912 in words is "three hundred fifty-two billion, three hundred ninety-eight million, two hundred eighty-two thousand, nine hundred twelve".