11128581468000 has 384 divisors, whose sum is σ = 40925683693440. Its totient is φ = 2937024921600.

The previous prime is 11128581467929. The next prime is 11128581468007. The reversal of 11128581468000 is 86418582111.

11128581468000 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 8 + 581 + 4 + 68 + 0 + 0 + 0 = 666.

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 (11128581468007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9944854 + ... + 11007146.

It is an arithmetic number, because the mean of its divisors is an integer number (106577301285).

Almost surely, 2^{11128581468000} is an apocalyptic number.

11128581468000 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 11128581468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20462841846720).

11128581468000 is an abundant number, since it is smaller than the sum of its proper divisors (29797102225440).

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

11128581468000 is a wasteful number, since it uses less digits than its factorization.

11128581468000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062424 (or 1062400 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 45.

The spelling of 11128581468000 in words is "eleven trillion, one hundred twenty-eight billion, five hundred eighty-one million, four hundred sixty-eight thousand".