14612742144 has 900 divisors, whose sum is σ = 59059765072. Its totient is φ = 3503554560.

The previous prime is 14612742119. The next prime is 14612742163. The reversal of 14612742144 is 44124721641.

14612742144 is a `hidden beast` number, since 14 + 612 + 7 + 4 + 21 + 4 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14612742099 and 14612742108.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1124057082 + ... + 1124057094.

Almost surely, 2^14612742144 is an apocalyptic number.

14612742144 is a gapful number since it is divisible by the number (14) 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 14612742144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29529882536).

14612742144 is an abundant number, since it is smaller than the sum of its proper divisors (44447022928).

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

14612742144 is an equidigital number, since it uses as much as digits as its factorization.

14612742144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 36 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

14612742144 divided by its sum of digits (36) gives a palindrome (405909504).

The spelling of 14612742144 in words is "fourteen billion, six hundred twelve million, seven hundred forty-two thousand, one hundred forty-four".