11404131768 has 96 divisors (see below), whose sum is σ = 32591613600. Its totient is φ = 3595198464.

The previous prime is 11404131733. The next prime is 11404131799. The reversal of 11404131768 is 86713140411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108696 + ... + 186072.

It is an arithmetic number, because the mean of its divisors is an integer number (339495975).

Almost surely, 2^11404131768 is an apocalyptic number.

11404131768 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 11404131768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16295806800).

11404131768 is an abundant number, since it is smaller than the sum of its proper divisors (21187481832).

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

11404131768 is a wasteful number, since it uses less digits than its factorization.

11404131768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77501 (or 77494 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 11404131768 in words is "eleven billion, four hundred four million, one hundred thirty-one thousand, seven hundred sixty-eight".