3368356114014 has 192 divisors, whose sum is σ = 7942508421120. Its totient is φ = 1027633582080.

The previous prime is 3368356114001. The next prime is 3368356114033. The reversal of 3368356114014 is 4104116538633.

3368356114014 is a `hidden beast` number, since 3 + 3 + 6 + 83 + 561 + 1 + 4 + 0 + 1 + 4 = 666.

It is a super-2 number, since 2×3368356114014² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2168934262 + ... + 2168935814.

It is an arithmetic number, because the mean of its divisors is an integer number (41367231360).

Almost surely, 2^{3368356114014} is an apocalyptic number.

3368356114014 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3368356114014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3971254210560).

3368356114014 is an abundant number, since it is smaller than the sum of its proper divisors (4574152307106).

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

3368356114014 is a wasteful number, since it uses less digits than its factorization.

3368356114014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495 (or 2492 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 3368356114014 in words is "three trillion, three hundred sixty-eight billion, three hundred fifty-six million, one hundred fourteen thousand, fourteen".