14114490624 has 432 divisors, whose sum is σ = 46412372160. Its totient is φ = 4226826240.

The previous prime is 14114490587. The next prime is 14114490647. The reversal of 14114490624 is 42609441141.

It is a happy number.

14114490624 is a `hidden beast` number, since 14 + 1 + 14 + 4 + 9 + 0 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 47 ways as a sum of consecutive naturals, for example, 50229364 + ... + 50229644.

Almost surely, 2^14114490624 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 14114490624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23206186080).

14114490624 is an abundant number, since it is smaller than the sum of its proper divisors (32297881536).

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

14114490624 is a wasteful number, since it uses less digits than its factorization.

14114490624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 14114490624 in words is "fourteen billion, one hundred fourteen million, four hundred ninety thousand, six hundred twenty-four".