353926112904 has 960 divisors, whose sum is σ = 1358177103360. Its totient is φ = 84966174720.

The previous prime is 353926112879. The next prime is 353926112927. The reversal of 353926112904 is 409211629353.

353926112904 is a `hidden beast` number, since 3 + 5 + 3 + 9 + 2 + 611 + 29 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 353926112904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 217532139 + ... + 217533765.

It is an arithmetic number, because the mean of its divisors is an integer number (1414767816).

Almost surely, 2^353926112904 is an apocalyptic number.

353926112904 is a gapful number since it is divisible by the number (34) 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 353926112904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679088551680).

353926112904 is an abundant number, since it is smaller than the sum of its proper divisors (1004250990456).

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

353926112904 is a wasteful number, since it uses less digits than its factorization.

353926112904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 353926112904 in words is "three hundred fifty-three billion, nine hundred twenty-six million, one hundred twelve thousand, nine hundred four".