11688431952 has 80 divisors (see below), whose sum is σ = 31303853568. Its totient is φ = 3754168320.

The previous prime is 11688431899. The next prime is 11688431959. The reversal of 11688431952 is 25913488611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11688431959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329848 + ... + 363560.

Almost surely, 2^11688431952 is an apocalyptic number.

11688431952 is a gapful number since it is divisible by the number (12) 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 11688431952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15651926784).

11688431952 is an abundant number, since it is smaller than the sum of its proper divisors (19615421616).

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

11688431952 is a wasteful number, since it uses less digits than its factorization.

11688431952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33988 (or 33982 counting only the distinct ones).

The product of its digits is 414720, while the sum is 48.

The spelling of 11688431952 in words is "eleven billion, six hundred eighty-eight million, four hundred thirty-one thousand, nine hundred fifty-two".