352552447104 has 512 divisors, whose sum is σ = 1152065617920. Its totient is φ = 94058496000.

The previous prime is 352552447103. The next prime is 352552447123. The reversal of 352552447104 is 401744255253.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (352552447103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120859854 + ... + 120862770.

It is an arithmetic number, because the mean of its divisors is an integer number (2250128160).

Almost surely, 2^352552447104 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 352552447104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576032808960).

352552447104 is an abundant number, since it is smaller than the sum of its proper divisors (799513170816).

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

352552447104 is a wasteful number, since it uses less digits than its factorization.

352552447104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3060 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 42.

The spelling of 352552447104 in words is "three hundred fifty-two billion, five hundred fifty-two million, four hundred forty-seven thousand, one hundred four".