353849111616 has 448 divisors, whose sum is σ = 1300396769280. Its totient is φ = 81912176640.

The previous prime is 353849111597. The next prime is 353849111621. The reversal of 353849111616 is 616111948353.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×353849111616² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5541825 + ... + 5605311.

It is an arithmetic number, because the mean of its divisors is an integer number (2902671360).

Almost surely, 2^353849111616 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 353849111616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650198384640).

353849111616 is an abundant number, since it is smaller than the sum of its proper divisors (946547657664).

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

353849111616 is a wasteful number, since it uses less digits than its factorization.

353849111616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63562 (or 63552 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The spelling of 353849111616 in words is "three hundred fifty-three billion, eight hundred forty-nine million, one hundred eleven thousand, six hundred sixteen".