353894710726368 has 576 divisors, whose sum is σ = 1268271462205440. Its totient is φ = 95575450521600.

The previous prime is 353894710726367. The next prime is 353894710726397. The reversal of 353894710726368 is 863627017498353.

353894710726368 is a `hidden beast` number, since 3 + 5 + 3 + 89 + 471 + 0 + 72 + 6 + 3 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 353894710726296 and 353894710726305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353894710726363) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53298408 + ... + 59569368.

It is an arithmetic number, because the mean of its divisors is an integer number (2201860177440).

It is a 2-persistent number, because it is pandigital, and so is 2⋅353894710726368 = 707789421452736, but 3⋅353894710726368 = 1061684132179104 is not.

Almost surely, 2^{353894710726368} 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 353894710726368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634135731102720).

353894710726368 is an abundant number, since it is smaller than the sum of its proper divisors (914376751479072).

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

353894710726368 is a wasteful number, since it uses less digits than its factorization.

353894710726368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6271068 (or 6271047 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 353894710726368 in words is "three hundred fifty-three trillion, eight hundred ninety-four billion, seven hundred ten million, seven hundred twenty-six thousand, three hundred sixty-eight".