11444786468640 has 768 divisors, whose sum is σ = 50283788083200. Its totient is φ = 2370515963904.

The previous prime is 11444786468639. The next prime is 11444786468669. The reversal of 11444786468640 is 4686468744411.

It is a happy number.

11444786468640 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 478 + 6 + 46 + 86 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12781854 + ... + 13647906.

It is an arithmetic number, because the mean of its divisors is an integer number (65473682400).

Almost surely, 2^{11444786468640} is an apocalyptic number.

11444786468640 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 11444786468640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25141894041600).

11444786468640 is an abundant number, since it is smaller than the sum of its proper divisors (38839001614560).

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

11444786468640 is a wasteful number, since it uses less digits than its factorization.

11444786468640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866126 (or 866112 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 63.

The spelling of 11444786468640 in words is "eleven trillion, four hundred forty-four billion, seven hundred eighty-six million, four hundred sixty-eight thousand, six hundred forty".