11748825664 has 63 divisors (see below), whose sum is σ = 24797276923. Its totient is φ = 5521922048.

The previous prime is 11748825637. The next prime is 11748825679. The reversal of 11748825664 is 46652884711.

The square root of 11748825664 is 108392.

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

It can be written as a sum of positive squares in 4 ways, for example, as 899520064 + 10849305600 = 29992^2 + 104160^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14740914 + ... + 14741710.

Almost surely, 2^11748825664 is an apocalyptic number.

11748825664 is the 108392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11748825664

11748825664 is an abundant number, since it is smaller than the sum of its proper divisors (13048451259).

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

11748825664 is an frugal number, since it uses more digits than its factorization.

11748825664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 816 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 52.

The spelling of 11748825664 in words is "eleven billion, seven hundred forty-eight million, eight hundred twenty-five thousand, six hundred sixty-four".