14643457920 has 864 divisors, whose sum is σ = 63901557720. Its totient is φ = 3079544832.

The previous prime is 14643457897. The next prime is 14643457937. The reversal of 14643457920 is 2975434641.

14643457920 is a `hidden beast` number, since 1 + 46 + 4 + 34 + 579 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 47698407 + ... + 47698713.

Almost surely, 2^14643457920 is an apocalyptic number.

14643457920 is a gapful number since it is divisible by the number (10) 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 14643457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31950778860).

14643457920 is an abundant number, since it is smaller than the sum of its proper divisors (49258099800).

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

14643457920 is a wasteful number, since it uses less digits than its factorization.

14643457920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 14643457920 in words is "fourteen billion, six hundred forty-three million, four hundred fifty-seven thousand, nine hundred twenty".