16414306667 has 24 divisors (see below), whose sum is σ = 19188178128. Its totient is φ = 13982059520.

The previous prime is 16414306639. The next prime is 16414306669. The reversal of 16414306667 is 76660341461.

It is a happy number.

It is not a de Polignac number, because 16414306667 - 2¹² = 16414302571 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16414306669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 449363 + ... + 484515.

It is an arithmetic number, because the mean of its divisors is an integer number (799507422).

Almost surely, 2^16414306667 is an apocalyptic number.

16414306667 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

16414306667 is a deficient number, since it is larger than the sum of its proper divisors (2773871461).

16414306667 is a wasteful number, since it uses less digits than its factorization.

16414306667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35419 (or 35408 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 44.

The spelling of 16414306667 in words is "sixteen billion, four hundred fourteen million, three hundred six thousand, six hundred sixty-seven".