353426631264 has 480 divisors, whose sum is σ = 1232950118400. Its totient is φ = 97173457920.

The previous prime is 353426631223. The next prime is 353426631379. The reversal of 353426631264 is 462136624353.

353426631264 is a `hidden beast` number, since 3 + 5 + 3 + 4 + 2 + 6 + 631 + 2 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 188896249 + ... + 188898119.

It is an arithmetic number, because the mean of its divisors is an integer number (2568646080).

Almost surely, 2^353426631264 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 353426631264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616475059200).

353426631264 is an abundant number, since it is smaller than the sum of its proper divisors (879523487136).

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

353426631264 is a wasteful number, since it uses less digits than its factorization.

353426631264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288 (or 2271 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 45.

The spelling of 353426631264 in words is "three hundred fifty-three billion, four hundred twenty-six million, six hundred thirty-one thousand, two hundred sixty-four".