11329403904 has 880 divisors, whose sum is σ = 44385510400. Its totient is φ = 2794881024.

The previous prime is 11329403903. The next prime is 11329403971. The reversal of 11329403904 is 40930492311.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11329403903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 143410137 + ... + 143410215.

It is an arithmetic number, because the mean of its divisors is an integer number (50438080).

Almost surely, 2^11329403904 is an apocalyptic number.

11329403904 is a gapful number since it is divisible by the number (14) 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 11329403904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22192755200).

11329403904 is an abundant number, since it is smaller than the sum of its proper divisors (33056106496).

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

11329403904 is a wasteful number, since it uses less digits than its factorization.

11329403904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 11329403904 in words is "eleven billion, three hundred twenty-nine million, four hundred three thousand, nine hundred four".