14742117936 has 1120 divisors, whose sum is σ = 60111152640. Its totient is φ = 3386105856.

The previous prime is 14742117911. The next prime is 14742117947. The reversal of 14742117936 is 63971124741.

It is a happy number.

14742117936 is a `hidden beast` number, since 1 + 474 + 2 + 1 + 179 + 3 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14742117891 and 14742117900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 342839931 + ... + 342839973.

It is an arithmetic number, because the mean of its divisors is an integer number (53670672).

Almost surely, 2^14742117936 is an apocalyptic number.

14742117936 is a gapful number since it is divisible by the number (16) 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 14742117936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30055576320).

14742117936 is an abundant number, since it is smaller than the sum of its proper divisors (45369034704).

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

14742117936 is a wasteful number, since it uses less digits than its factorization.

14742117936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 104 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The spelling of 14742117936 in words is "fourteen billion, seven hundred forty-two million, one hundred seventeen thousand, nine hundred thirty-six".