15414688144 has 40 divisors (see below), whose sum is σ = 31450437440. Its totient is φ = 7298771328.

The previous prime is 15414688109. The next prime is 15414688151. The reversal of 15414688144 is 44188641451.

15414688144 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-2 number, since 2×15414688144² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 15414688094 and 15414688103.

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 7 ways as a sum of consecutive naturals, for example, 878077 + ... + 895459.

It is an arithmetic number, because the mean of its divisors is an integer number (786260936).

Almost surely, 2^15414688144 is an apocalyptic number.

It is an amenable number.

15414688144 is an abundant number, since it is smaller than the sum of its proper divisors (16035749296).

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

15414688144 is a wasteful number, since it uses less digits than its factorization.

15414688144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20327 (or 20321 counting only the distinct ones).

The product of its digits is 491520, while the sum is 46.

The spelling of 15414688144 in words is "fifteen billion, four hundred fourteen million, six hundred eighty-eight thousand, one hundred forty-four".