11774642544 has 320 divisors, whose sum is σ = 41118796800. Its totient is φ = 3149217792.

The previous prime is 11774642543. The next prime is 11774642587. The reversal of 11774642544 is 44524647711.

11774642544 is a `hidden beast` number, since 117 + 74 + 6 + 425 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11774642544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11774642543) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11669112 + ... + 11670120.

It is an arithmetic number, because the mean of its divisors is an integer number (128496240).

Almost surely, 2^11774642544 is an apocalyptic number.

11774642544 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 11774642544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20559398400).

11774642544 is an abundant number, since it is smaller than the sum of its proper divisors (29344154256).

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

11774642544 is a wasteful number, since it uses less digits than its factorization.

11774642544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1265 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The spelling of 11774642544 in words is "eleven billion, seven hundred seventy-four million, six hundred forty-two thousand, five hundred forty-four".