15113844144 has 240 divisors, whose sum is σ = 49597396992. Its totient is φ = 4206822912.

The previous prime is 15113844127. The next prime is 15113844167. The reversal of 15113844144 is 44144831151.

15113844144 is a `hidden beast` number, since 151 + 13 + 84 + 414 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 15113844099 and 15113844108.

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, 12459282 + ... + 12460494.

Almost surely, 2^15113844144 is an apocalyptic number.

15113844144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15113844144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24798698496).

15113844144 is an abundant number, since it is smaller than the sum of its proper divisors (34483552848).

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

15113844144 is a wasteful number, since it uses less digits than its factorization.

15113844144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1535 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The spelling of 15113844144 in words is "fifteen billion, one hundred thirteen million, eight hundred forty-four thousand, one hundred forty-four".