11314766400 has 504 divisors, whose sum is σ = 43840542240. Its totient is φ = 2546933760.

The previous prime is 11314766377. The next prime is 11314766401. The reversal of 11314766400 is 466741311.

It is not an unprimeable number, because it can be changed into a prime (11314766401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17169271 + ... + 17169929.

Almost surely, 2^11314766400 is an apocalyptic number.

11314766400 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 11314766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21920271120).

11314766400 is an abundant number, since it is smaller than the sum of its proper divisors (32525775840).

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

11314766400 is a wasteful number, since it uses less digits than its factorization.

11314766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 11314766400 in words is "eleven billion, three hundred fourteen million, seven hundred sixty-six thousand, four hundred".