352354996224 has 312 divisors, whose sum is σ = 1268943429312. Its totient is φ = 91520040960.

The previous prime is 352354996183. The next prime is 352354996241. The reversal of 352354996224 is 422699453253.

It is a happy number.

352354996224 is a `hidden beast` number, since 3 + 5 + 2 + 3 + 5 + 4 + 9 + 9 + 622 + 4 = 666.

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, 2776462 + ... + 2900594.

It is an arithmetic number, because the mean of its divisors is an integer number (4067126376).

Almost surely, 2^352354996224 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 352354996224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634471714656).

352354996224 is an abundant number, since it is smaller than the sum of its proper divisors (916588433088).

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

352354996224 is a wasteful number, since it uses less digits than its factorization.

352354996224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124181 (or 124156 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 54.

The spelling of 352354996224 in words is "three hundred fifty-two billion, three hundred fifty-four million, nine hundred ninety-six thousand, two hundred twenty-four".