353352085632 has 768 divisors, whose sum is σ = 1291163328000. Its totient is φ = 90269614080.

The previous prime is 353352085627. The next prime is 353352085643. The reversal of 353352085632 is 236580253353.

It is a happy number.

353352085632 is a `hidden beast` number, since 3 + 5 + 3 + 3 + 5 + 2 + 0 + 8 + 5 + 632 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 984267469 + ... + 984267827.

It is an arithmetic number, because the mean of its divisors is an integer number (1681202250).

Almost surely, 2^353352085632 is an apocalyptic number.

353352085632 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 353352085632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645581664000).

353352085632 is an abundant number, since it is smaller than the sum of its proper divisors (937811242368).

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

353352085632 is a wasteful number, since it uses less digits than its factorization.

353352085632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

The spelling of 353352085632 in words is "three hundred fifty-three billion, three hundred fifty-two million, eighty-five thousand, six hundred thirty-two".