14496141504 has 224 divisors, whose sum is σ = 44200226560. Its totient is φ = 4155494400.

The previous prime is 14496141503. The next prime is 14496141511. The reversal of 14496141504 is 40514169441.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (14496141503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2890359 + ... + 2895369.

It is an arithmetic number, because the mean of its divisors is an integer number (197322440).

Almost surely, 2^14496141504 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 14496141504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22100113280).

14496141504 is an abundant number, since it is smaller than the sum of its proper divisors (29704085056).

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

14496141504 is a wasteful number, since it uses less digits than its factorization.

14496141504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5119 (or 5109 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 14496141504 in words is "fourteen billion, four hundred ninety-six million, one hundred forty-one thousand, five hundred four".