614055441113514 has 48 divisors (see below), whose sum is σ = 1348694942801544. Its totient is φ = 201878831347200.

The previous prime is 614055441113497. The next prime is 614055441113563. The reversal of 614055441113514 is 415311144550416.

614055441113514 is a `hidden beast` number, since 6 + 1 + 4 + 0 + 554 + 41 + 1 + 1 + 3 + 51 + 4 = 666.

614055441113514 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 613983131214489 + 72309899025 = 24778683^2 + 268905^2 .

It is a super-3 number, since 3×614055441113514³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 614055441113514.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109050124 + ... + 114542744.

Almost surely, 2^{614055441113514} is an apocalyptic number.

614055441113514 is an abundant number, since it is smaller than the sum of its proper divisors (734639501688030).

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

614055441113514 is a wasteful number, since it uses less digits than its factorization.

614055441113514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5577783 (or 5577780 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 614055441113514 in words is "six hundred fourteen trillion, fifty-five billion, four hundred forty-one million, one hundred thirteen thousand, five hundred fourteen".