353501800640352 has 1080 divisors, whose sum is σ = 1315059360199200. Its totient is φ = 92839807936512.

The previous prime is 353501800640293. The next prime is 353501800640383. The reversal of 353501800640352 is 253046008105353.

353501800640352 is a `hidden beast` number, since 3 + 5 + 3 + 501 + 80 + 0 + 64 + 0 + 3 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 353501800640298 and 353501800640307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 5129945674 + ... + 5130014582.

It is an arithmetic number, because the mean of its divisors is an integer number (1217647555740).

Almost surely, 2^{353501800640352} is an apocalyptic number.

353501800640352 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 353501800640352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657529680099600).

353501800640352 is an abundant number, since it is smaller than the sum of its proper divisors (961557559558848).

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

353501800640352 is a wasteful number, since it uses less digits than its factorization.

353501800640352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69210 (or 69173 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 353501800640352 in words is "three hundred fifty-three trillion, five hundred one billion, eight hundred million, six hundred forty thousand, three hundred fifty-two".