11746468800 has 672 divisors, whose sum is σ = 49209350400. Its totient is φ = 2695680000.

The previous prime is 11746468739. The next prime is 11746468807. The reversal of 11746468800 is 886464711.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11746468807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9028150 + ... + 9029450.

It is an arithmetic number, because the mean of its divisors is an integer number (73228200).

Almost surely, 2^11746468800 is an apocalyptic number.

11746468800 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 11746468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24604675200).

11746468800 is an abundant number, since it is smaller than the sum of its proper divisors (37462881600).

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

11746468800 is a wasteful number, since it uses less digits than its factorization.

11746468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 11746468800 in words is "eleven billion, seven hundred forty-six million, four hundred sixty-eight thousand, eight hundred".