11406969504 has 720 divisors, whose sum is σ = 42755882400. Its totient is φ = 2962842624.

The previous prime is 11406969503. The next prime is 11406969521. The reversal of 11406969504 is 40596960411.

It is a happy number.

11406969504 is a `hidden beast` number, since 11 + 40 + 6 + 96 + 9 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11406969504.

It is not an unprimeable number, because it can be changed into a prime (11406969503) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 69981327 + ... + 69981489.

It is an arithmetic number, because the mean of its divisors is an integer number (59383170).

Almost surely, 2^11406969504 is an apocalyptic number.

11406969504 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 11406969504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21377941200).

11406969504 is an abundant number, since it is smaller than the sum of its proper divisors (31348912896).

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

11406969504 is a wasteful number, since it uses less digits than its factorization.

11406969504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 11406969504 in words is "eleven billion, four hundred six million, nine hundred sixty-nine thousand, five hundred four".