353300114340 has 192 divisors, whose sum is σ = 1168937414400. Its totient is φ = 88334364672.

The previous prime is 353300114309. The next prime is 353300114399. The reversal of 353300114340 is 43411003353.

353300114340 is a `hidden beast` number, since 3 + 5 + 3 + 300 + 1 + 14 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 817722 + ... + 1172718.

It is an arithmetic number, because the mean of its divisors is an integer number (6088215700).

Almost surely, 2^353300114340 is an apocalyptic number.

353300114340 is a gapful number since it is divisible by the number (30) 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 353300114340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584468707200).

353300114340 is an abundant number, since it is smaller than the sum of its proper divisors (815637300060).

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

353300114340 is a wasteful number, since it uses less digits than its factorization.

353300114340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355131 (or 355123 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 353300114340 its reverse (43411003353), we get a palindrome (396711117693).

The spelling of 353300114340 in words is "three hundred fifty-three billion, three hundred million, one hundred fourteen thousand, three hundred forty".