352848545280 has 2400 divisors, whose sum is σ = 1659484411200. Its totient is φ = 71530905600.

The previous prime is 352848545233. The next prime is 352848545303. The reversal of 352848545280 is 82545848253.

352848545280 is a `hidden beast` number, since 3 + 5 + 28 + 48 + 54 + 528 + 0 = 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 239 ways as a sum of consecutive naturals, for example, 8606062060 + ... + 8606062100.

It is an arithmetic number, because the mean of its divisors is an integer number (691451838).

Almost surely, 2^352848545280 is an apocalyptic number.

352848545280 is a gapful number since it is divisible by the number (30) 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 352848545280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829742205600).

352848545280 is an abundant number, since it is smaller than the sum of its proper divisors (1306635865920).

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

352848545280 is an equidigital number, since it uses as much as digits as its factorization.

352848545280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 12288000, while the sum is 54.

The spelling of 352848545280 in words is "three hundred fifty-two billion, eight hundred forty-eight million, five hundred forty-five thousand, two hundred eighty".