14642621424 has 200 divisors, whose sum is σ = 45038287008. Its totient is φ = 4576849920.

The previous prime is 14642621347. The next prime is 14642621443. The reversal of 14642621424 is 42412624641.

14642621424 is a `hidden beast` number, since 1 + 4 + 6 + 4 + 2 + 621 + 4 + 24 = 666.

14642621424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×14642621424³ (a number of 31 digits) contains 333 as substring.

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.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 6850884 + ... + 6853020.

Almost surely, 2^14642621424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14642621424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22519143504).

14642621424 is an abundant number, since it is smaller than the sum of its proper divisors (30395665584).

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

14642621424 is a wasteful number, since it uses less digits than its factorization.

14642621424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485 (or 2470 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 14642621424 in words is "fourteen billion, six hundred forty-two million, six hundred twenty-one thousand, four hundred twenty-four".