353253390336 has 1296 divisors, whose sum is σ = 1373998331160. Its totient is φ = 86394470400.

The previous prime is 353253390323. The next prime is 353253390419. The reversal of 353253390336 is 633093352353.

353253390336 is a `hidden beast` number, since 3 + 5 + 3 + 253 + 390 + 3 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 353253390291 and 353253390300.

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 107 ways as a sum of consecutive naturals, for example, 9547388910 + ... + 9547388946.

Almost surely, 2^353253390336 is an apocalyptic number.

353253390336 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 353253390336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686999165580).

353253390336 is an abundant number, since it is smaller than the sum of its proper divisors (1020744940824).

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

353253390336 is a wasteful number, since it uses less digits than its factorization.

353253390336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1968300, while the sum is 45.

The spelling of 353253390336 in words is "three hundred fifty-three billion, two hundred fifty-three million, three hundred ninety thousand, three hundred thirty-six".