11281445683200 has 3024 divisors, whose sum is σ = 54522436340736. Its totient is φ = 2242274918400.

The previous prime is 11281445683181. The next prime is 11281445683219. The reversal of 11281445683200 is 238654418211.

11281445683200 is a `hidden beast` number, since 1 + 1 + 2 + 81 + 4 + 4 + 568 + 3 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11281445683181) and next prime (11281445683219).

It is a tau number, because it is divible by the number of its divisors (3024).

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 143 ways as a sum of consecutive naturals, for example, 490497638389 + ... + 490497638411.

Almost surely, 2^{11281445683200} is an apocalyptic number.

11281445683200 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 11281445683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27261218170368).

11281445683200 is an abundant number, since it is smaller than the sum of its proper divisors (43240990657536).

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

11281445683200 is an frugal number, since it uses more digits than its factorization.

11281445683200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 11281445683200 in words is "eleven trillion, two hundred eighty-one billion, four hundred forty-five million, six hundred eighty-three thousand, two hundred".