11714506400 has 72 divisors (see below), whose sum is σ = 28642596444. Its totient is φ = 4678502400.

The previous prime is 11714506367. The next prime is 11714506459. The reversal of 11714506400 is 460541711.

11714506400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2963278096 + 8751228304 = 54436^2 + 93548^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 517724 + ... + 539876.

Almost surely, 2^11714506400 is an apocalyptic number.

11714506400 is a gapful number since it is divisible by the number (10) 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 11714506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14321298222).

11714506400 is an abundant number, since it is smaller than the sum of its proper divisors (16928090044).

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

11714506400 is a wasteful number, since it uses less digits than its factorization.

11714506400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22834 (or 22821 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The spelling of 11714506400 in words is "eleven billion, seven hundred fourteen million, five hundred six thousand, four hundred".