352433047104 has 168 divisors, whose sum is σ = 1072792340568. Its totient is φ = 110238105600.

The previous prime is 352433047091. The next prime is 352433047147. The reversal of 352433047104 is 401740334253.

352433047104 is a `hidden beast` number, since 3 + 5 + 243 + 304 + 7 + 104 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21292646400 + 331140400704 = 145920^2 + 575448^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3246504 + ... + 3353304.

Almost surely, 2^352433047104 is an apocalyptic number.

352433047104 is a gapful number since it is divisible by the number (34) 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 352433047104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536396170284).

352433047104 is an abundant number, since it is smaller than the sum of its proper divisors (720359293464).

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

352433047104 is a wasteful number, since it uses less digits than its factorization.

352433047104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107173 (or 107160 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 352433047104 in words is "three hundred fifty-two billion, four hundred thirty-three million, forty-seven thousand, one hundred four".