11864437776 has 135 divisors (see below), whose sum is σ = 34498610679. Its totient is φ = 3806240256.

The previous prime is 11864437763. The next prime is 11864437799. The reversal of 11864437776 is 67773446811.

It is a happy number.

The square root of 11864437776 is 108924.

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 4703216400 + 7161221376 = 68580^2 + 84624^2 .

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, 37905396 + ... + 37905708.

Almost surely, 2^11864437776 is an apocalyptic number.

11864437776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11864437776 is the 108924-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11864437776

11864437776 is an abundant number, since it is smaller than the sum of its proper divisors (22634172903).

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

11864437776 is an equidigital number, since it uses as much as digits as its factorization.

11864437776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 347 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The spelling of 11864437776 in words is "eleven billion, eight hundred sixty-four million, four hundred thirty-seven thousand, seven hundred seventy-six".