11468934400 has 648 divisors, whose sum is σ = 38514159936. Its totient is φ = 3273523200.

The previous prime is 11468934397. The next prime is 11468934401. The reversal of 11468934400 is 443986411.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11468934401) 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 71 ways as a sum of consecutive naturals, for example, 309971182 + ... + 309971218.

It is an arithmetic number, because the mean of its divisors is an integer number (59435432).

Almost surely, 2^11468934400 is an apocalyptic number.

11468934400 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 11468934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19257079968).

11468934400 is an abundant number, since it is smaller than the sum of its proper divisors (27045225536).

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

11468934400 is a wasteful number, since it uses less digits than its factorization.

11468934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 11468934400 in words is "eleven billion, four hundred sixty-eight million, nine hundred thirty-four thousand, four hundred".