353837113344 has 1008 divisors, whose sum is σ = 1265841538416. Its totient is φ = 98099527680.

The previous prime is 353837113319. The next prime is 353837113351. The reversal of 353837113344 is 443311738353.

353837113344 is a `hidden beast` number, since 3 + 538 + 3 + 71 + 1 + 3 + 3 + 44 = 666.

It is a super-2 number, since 2×353837113344² (a number of 24 digits) contains 22 as substring.

Its product of digits (1088640) is a multiple of the sum of its prime factors (189).

It is a self number, because there is not a number n which added to its sum of digits gives 353837113344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3131301832 + ... + 3131301944.

It is an arithmetic number, because the mean of its divisors is an integer number (1255795177).

Almost surely, 2^353837113344 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 353837113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632920769208).

353837113344 is an abundant number, since it is smaller than the sum of its proper divisors (912004425072).

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

353837113344 is a wasteful number, since it uses less digits than its factorization.

353837113344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 142 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The spelling of 353837113344 in words is "three hundred fifty-three billion, eight hundred thirty-seven million, one hundred thirteen thousand, three hundred forty-four".