353858365872 has 120 divisors (see below), whose sum is σ = 1082282582160. Its totient is φ = 107037027840.

The previous prime is 353858365867. The next prime is 353858365909. The reversal of 353858365872 is 278563858353.

It is a happy number.

353858365872 is a `hidden beast` number, since 353 + 85 + 83 + 65 + 8 + 72 = 666.

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 23 ways as a sum of consecutive naturals, for example, 681754 + ... + 1082822.

It is an arithmetic number, because the mean of its divisors is an integer number (9019021518).

Almost surely, 2^353858365872 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 353858365872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541141291080).

353858365872 is an abundant number, since it is smaller than the sum of its proper divisors (728424216288).

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

353858365872 is a wasteful number, since it uses less digits than its factorization.

353858365872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401651 (or 401642 counting only the distinct ones).

The product of its digits is 145152000, while the sum is 63.

The spelling of 353858365872 in words is "three hundred fifty-three billion, eight hundred fifty-eight million, three hundred sixty-five thousand, eight hundred seventy-two".