14517446940 has 288 divisors, whose sum is σ = 47504830464. Its totient is φ = 3717550080.

The previous prime is 14517446891. The next prime is 14517446941. The reversal of 14517446940 is 4964471541.

14517446940 is a `hidden beast` number, since 1 + 4 + 517 + 4 + 46 + 94 + 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 not an unprimeable number, because it can be changed into a prime (14517446941) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25159932 + ... + 25160508.

It is an arithmetic number, because the mean of its divisors is an integer number (164947328).

Almost surely, 2^14517446940 is an apocalyptic number.

14517446940 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 14517446940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23752415232).

14517446940 is an abundant number, since it is smaller than the sum of its proper divisors (32987383524).

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

14517446940 is a wasteful number, since it uses less digits than its factorization.

14517446940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 14517446940 in words is "fourteen billion, five hundred seventeen million, four hundred forty-six thousand, nine hundred forty".