14457314600 has 24 divisors (see below), whose sum is σ = 33613256910. Its totient is φ = 5782925760.

The previous prime is 14457314569. The next prime is 14457314603. The reversal of 14457314600 is 641375441.

It can be written as a sum of positive squares in 3 ways, for example, as 8476148356 + 5981166244 = 92066^2 + 77338^2 .

It is not an unprimeable number, because it can be changed into a prime (14457314603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36143087 + ... + 36143486.

Almost surely, 2^14457314600 is an apocalyptic number.

14457314600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14457314600 is an abundant number, since it is smaller than the sum of its proper divisors (19155942310).

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

14457314600 is a wasteful number, since it uses less digits than its factorization.

14457314600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72286589 (or 72286580 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 14457314600 in words is "fourteen billion, four hundred fifty-seven million, three hundred fourteen thousand, six hundred".