11743898400 has 504 divisors, whose sum is σ = 46321449300. Its totient is φ = 2888939520.

The previous prime is 11743898399. The next prime is 11743898449. The reversal of 11743898400 is 489834711.

It is a happy number.

11743898400 is a `hidden beast` number, since 117 + 43 + 8 + 98 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1503267984 + 10240630416 = 38772^2 + 101196^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 7580826 + ... + 7582374.

Almost surely, 2^11743898400 is an apocalyptic number.

11743898400 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 11743898400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23160724650).

11743898400 is an abundant number, since it is smaller than the sum of its proper divisors (34577550900).

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

11743898400 is a wasteful number, since it uses less digits than its factorization.

11743898400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 11743898400 in words is "eleven billion, seven hundred forty-three million, eight hundred ninety-eight thousand, four hundred".