14293120464 has 240 divisors, whose sum is σ = 50533372800. Its totient is φ = 3843431424.

The previous prime is 14293120463. The next prime is 14293120531. The reversal of 14293120464 is 46402139241.

14293120464 is a `hidden beast` number, since 142 + 9 + 31 + 20 + 464 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14293120463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 339997 + ... + 379715.

It is an arithmetic number, because the mean of its divisors is an integer number (210555720).

Almost surely, 2^14293120464 is an apocalyptic number.

14293120464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14293120464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25266686400).

14293120464 is an abundant number, since it is smaller than the sum of its proper divisors (36240252336).

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

14293120464 is a wasteful number, since it uses less digits than its factorization.

14293120464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39767 (or 39748 counting only the distinct ones).

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

The spelling of 14293120464 in words is "fourteen billion, two hundred ninety-three million, one hundred twenty thousand, four hundred sixty-four".