14364601416 has 96 divisors (see below), whose sum is σ = 42534011520. Its totient is φ = 4343356800.

The previous prime is 14364601411. The next prime is 14364601507. The reversal of 14364601416 is 61410646341.

14364601416 is a `hidden beast` number, since 1 + 4 + 3 + 6 + 4 + 601 + 41 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14364601411) 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, 345441 + ... + 384783.

It is an arithmetic number, because the mean of its divisors is an integer number (443062620).

Almost surely, 2^14364601416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14364601416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21267005760).

14364601416 is an abundant number, since it is smaller than the sum of its proper divisors (28169410104).

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

14364601416 is a wasteful number, since it uses less digits than its factorization.

14364601416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39827 (or 39820 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 14364601416 in words is "fourteen billion, three hundred sixty-four million, six hundred one thousand, four hundred sixteen".