11948761728 has 96 divisors (see below), whose sum is σ = 34428993300. Its totient is φ = 3977687040.

The previous prime is 11948761711. The next prime is 11948761757. The reversal of 11948761728 is 82716784911.

11948761728 is a `hidden beast` number, since 1 + 19 + 4 + 8 + 7 + 617 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11908920384 + 39841344 = 109128^2 + 6312^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 925558 + ... + 938378.

Almost surely, 2^11948761728 is an apocalyptic number.

11948761728 is a gapful number since it is divisible by the number (18) 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 11948761728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17214496650).

11948761728 is an abundant number, since it is smaller than the sum of its proper divisors (22480231572).

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

11948761728 is a wasteful number, since it uses less digits than its factorization.

11948761728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13650 (or 13635 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 54.

The spelling of 11948761728 in words is "eleven billion, nine hundred forty-eight million, seven hundred sixty-one thousand, seven hundred twenty-eight".