14307790464 has 192 divisors, whose sum is σ = 45190716480. Its totient is φ = 4309094400.

The previous prime is 14307790463. The next prime is 14307790477. The reversal of 14307790464 is 46409770341.

14307790464 is a `hidden beast` number, since 1 + 4 + 30 + 77 + 90 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (14307790463) 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, 2112844 + ... + 2119604.

It is an arithmetic number, because the mean of its divisors is an integer number (235368315).

Almost surely, 2^14307790464 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 14307790464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22595358240).

14307790464 is an abundant number, since it is smaller than the sum of its proper divisors (30882926016).

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

14307790464 is a wasteful number, since it uses less digits than its factorization.

14307790464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6959 (or 6944 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 14307790464 in words is "fourteen billion, three hundred seven million, seven hundred ninety thousand, four hundred sixty-four".