14916249504 has 144 divisors (see below), whose sum is σ = 46086577992. Its totient is φ = 4548870144.

The previous prime is 14916249503. The next prime is 14916249527. The reversal of 14916249504 is 40594261941.

14916249504 is a `hidden beast` number, since 1 + 49 + 1 + 62 + 49 + 504 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1548265104 + 13367984400 = 39348^2 + 115620^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 14916249504.

It is not an unprimeable number, because it can be changed into a prime (14916249503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 405444 + ... + 440700.

Almost surely, 2^14916249504 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 14916249504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23043288996).

14916249504 is an abundant number, since it is smaller than the sum of its proper divisors (31170328488).

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

14916249504 is a wasteful number, since it uses less digits than its factorization.

14916249504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35399 (or 35388 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 14916249504 in words is "fourteen billion, nine hundred sixteen million, two hundred forty-nine thousand, five hundred four".