13144950000 has 960 divisors, whose sum is σ = 58586250240. Its totient is φ = 2747520000.

The previous prime is 13144949977. The next prime is 13144950019. The reversal of 13144950000 is 5944131.

13144950000 is a `hidden beast` number, since 13 + 144 + 9 + 500 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 122849947 + ... + 122850053.

It is an arithmetic number, because the mean of its divisors is an integer number (61027344).

Almost surely, 2^13144950000 is an apocalyptic number.

13144950000 is a gapful number since it is divisible by the number (10) 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 13144950000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29293125120).

13144950000 is an abundant number, since it is smaller than the sum of its proper divisors (45441300240).

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

13144950000 is a wasteful number, since it uses less digits than its factorization.

13144950000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 13144950000 in words is "thirteen billion, one hundred forty-four million, nine hundred fifty thousand".