14742412667136 has 1080 divisors, whose sum is σ = 55344178213632. Its totient is φ = 3820699238400.

The previous prime is 14742412667117. The next prime is 14742412667209. The reversal of 14742412667136 is 63176621424741.

14742412667136 is a `hidden beast` number, since 1 + 4 + 7 + 4 + 241 + 266 + 7 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13365740761 + ... + 13365741863.

Almost surely, 2^{14742412667136} is an apocalyptic number.

14742412667136 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 14742412667136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27672089106816).

14742412667136 is an abundant number, since it is smaller than the sum of its proper divisors (40601765546496).

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

14742412667136 is a wasteful number, since it uses less digits than its factorization.

14742412667136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1887 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 14742412667136 in words is "fourteen trillion, seven hundred forty-two billion, four hundred twelve million, six hundred sixty-seven thousand, one hundred thirty-six".