352261735056 has 640 divisors, whose sum is σ = 1308259123200. Its totient is φ = 88070976000.

The previous prime is 352261735037. The next prime is 352261735081. The reversal of 352261735056 is 650537162253.

352261735056 is a `hidden beast` number, since 3 + 5 + 22 + 617 + 3 + 5 + 0 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 217579015 + ... + 217580633.

It is an arithmetic number, because the mean of its divisors is an integer number (2044154880).

Almost surely, 2^352261735056 is an apocalyptic number.

352261735056 is a gapful number since it is divisible by the number (36) 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 352261735056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654129561600).

352261735056 is an abundant number, since it is smaller than the sum of its proper divisors (955997388144).

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

352261735056 is a wasteful number, since it uses less digits than its factorization.

352261735056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 352261735056 in words is "three hundred fifty-two billion, two hundred sixty-one million, seven hundred thirty-five thousand, fifty-six".