352775577168 has 240 divisors, whose sum is σ = 1189505581056. Its totient is φ = 95465882880.

The previous prime is 352775577101. The next prime is 352775577229. The reversal of 352775577168 is 861775577253.

352775577168 is a `hidden beast` number, since 3 + 5 + 2 + 7 + 7 + 557 + 71 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1348555 + ... + 1588757.

Almost surely, 2^352775577168 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 352775577168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594752790528).

352775577168 is an abundant number, since it is smaller than the sum of its proper divisors (836730003888).

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

352775577168 is a wasteful number, since it uses less digits than its factorization.

352775577168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240302 (or 240293 counting only the distinct ones).

The product of its digits is 86436000, while the sum is 63.

The spelling of 352775577168 in words is "three hundred fifty-two billion, seven hundred seventy-five million, five hundred seventy-seven thousand, one hundred sixty-eight".