14261316552 has 288 divisors, whose sum is σ = 47101841280. Its totient is φ = 3817704960.

The previous prime is 14261316547. The next prime is 14261316569. The reversal of 14261316552 is 25561316241.

14261316552 is a `hidden beast` number, since 1 + 42 + 61 + 3 + 1 + 6 + 552 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18739852 + ... + 18740612.

It is an arithmetic number, because the mean of its divisors is an integer number (163548060).

Almost surely, 2^14261316552 is an apocalyptic number.

14261316552 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 14261316552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23550920640).

14261316552 is an abundant number, since it is smaller than the sum of its proper divisors (32840524728).

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

14261316552 is a wasteful number, since it uses less digits than its factorization.

14261316552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 895 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The spelling of 14261316552 in words is "fourteen billion, two hundred sixty-one million, three hundred sixteen thousand, five hundred fifty-two".