614434323434416 has 40 divisors (see below), whose sum is σ = 1202266180843200. Its totient is φ = 304172148403200.

The previous prime is 614434323434411. The next prime is 614434323434419.

614434323434416 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×614434323434416² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (614434323434411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152450265 + ... + 156428743.

It is an arithmetic number, because the mean of its divisors is an integer number (30056654521080).

Almost surely, 2^{614434323434416} is an apocalyptic number.

It is an amenable number.

614434323434416 is a deficient number, since it is larger than the sum of its proper divisors (587831857408784).

614434323434416 is a wasteful number, since it uses less digits than its factorization.

614434323434416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4074157 (or 4074151 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 52.

The spelling of 614434323434416 in words is "six hundred fourteen trillion, four hundred thirty-four billion, three hundred twenty-three million, four hundred thirty-four thousand, four hundred sixteen".