11295985698144 has 384 divisors, whose sum is σ = 39359958220800. Its totient is φ = 3083774353920.

The previous prime is 11295985698143. The next prime is 11295985698253. The reversal of 11295985698144 is 44189658959211.

It is a happy number.

11295985698144 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 59 + 8 + 569 + 8 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11295985698143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14430229 + ... + 15192875.

It is an arithmetic number, because the mean of its divisors is an integer number (102499891200).

Almost surely, 2^{11295985698144} is an apocalyptic number.

11295985698144 is a gapful number since it is divisible by the number (14) 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 11295985698144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19679979110400).

11295985698144 is an abundant number, since it is smaller than the sum of its proper divisors (28063972522656).

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

11295985698144 is a wasteful number, since it uses less digits than its factorization.

11295985698144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762783 (or 762769 counting only the distinct ones).

The product of its digits is 223948800, while the sum is 72.

The spelling of 11295985698144 in words is "eleven trillion, two hundred ninety-five billion, nine hundred eighty-five million, six hundred ninety-eight thousand, one hundred forty-four".