11739627144 has 192 divisors, whose sum is σ = 37066199040. Its totient is φ = 3287278080.

The previous prime is 11739627139. The next prime is 11739627149. The reversal of 11739627144 is 44172693711.

It is a happy number.

11739627144 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 9 + 627 + 14 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (11739627139) and next prime (11739627149).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11739627144.

It is not an unprimeable number, because it can be changed into a prime (11739627149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11774454 + ... + 11775450.

It is an arithmetic number, because the mean of its divisors is an integer number (193053120).

Almost surely, 2^11739627144 is an apocalyptic number.

11739627144 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 11739627144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18533099520).

11739627144 is an abundant number, since it is smaller than the sum of its proper divisors (25326571896).

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

11739627144 is a wasteful number, since it uses less digits than its factorization.

11739627144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1453 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The spelling of 11739627144 in words is "eleven billion, seven hundred thirty-nine million, six hundred twenty-seven thousand, one hundred forty-four".