14945717952 has 168 divisors, whose sum is σ = 48766049280. Its totient is φ = 4332049920.

The previous prime is 14945717947. The next prime is 14945717957. The reversal of 14945717952 is 25971754941.

14945717952 is a `hidden beast` number, since 1 + 494 + 57 + 17 + 95 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (14945717947) and next prime (14945717957).

It is not an unprimeable number, because it can be changed into a prime (14945717957) 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, 94449 + ... + 197007.

Almost surely, 2^14945717952 is an apocalyptic number.

14945717952 is a gapful number since it is divisible by the number (12) 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 14945717952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24383024640).

14945717952 is an abundant number, since it is smaller than the sum of its proper divisors (33820331328).

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

14945717952 is a wasteful number, since it uses less digits than its factorization.

14945717952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102611 (or 102598 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 54.

The spelling of 14945717952 in words is "fourteen billion, nine hundred forty-five million, seven hundred seventeen thousand, nine hundred fifty-two".