11643709394944 has 351 divisors, whose sum is σ = 26506537833153. Its totient is φ = 5110242508800.

The previous prime is 11643709394917. The next prime is 11643709394987. The reversal of 11643709394944 is 44949390734611.

The square root of 11643709394944 is 3412288.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10418951065600 + 1224758329344 = 3227840^2 + 1106688^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 88883277759 + ... + 88883277889.

Almost surely, 2^{11643709394944} is an apocalyptic number.

11643709394944 is the 3412288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11643709394944

11643709394944 is an abundant number, since it is smaller than the sum of its proper divisors (14862828438209).

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

11643709394944 is an frugal number, since it uses more digits than its factorization.

11643709394944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 64.

Multiplying 11643709394944 by its sum of digits (64), we get a square (745197401276416 = 27298304²).

11643709394944 divided by its sum of digits (64) gives a square (181932959296 = 426536²).

The spelling of 11643709394944 in words is "eleven trillion, six hundred forty-three billion, seven hundred nine million, three hundred ninety-four thousand, nine hundred forty-four".