11774088144 has 480 divisors, whose sum is σ = 41933149440. Its totient is φ = 3001909248.

The previous prime is 11774088143. The next prime is 11774088197. The reversal of 11774088144 is 44188047711.

It is a self number, because there is not a number n which added to its sum of digits gives 11774088144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11774088143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74994114 + ... + 74994270.

It is an arithmetic number, because the mean of its divisors is an integer number (87360728).

Almost surely, 2^11774088144 is an apocalyptic number.

11774088144 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 11774088144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20966574720).

11774088144 is an abundant number, since it is smaller than the sum of its proper divisors (30159061296).

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

11774088144 is a wasteful number, since it uses less digits than its factorization.

11774088144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 11774088144 in words is "eleven billion, seven hundred seventy-four million, eighty-eight thousand, one hundred forty-four".