11444400102312 has 80 divisors (see below), whose sum is σ = 33448609038240. Its totient is φ = 3648939158304.

The previous prime is 11444400102269. The next prime is 11444400102341. The reversal of 11444400102312 is 21320100444411.

11444400102312 is a `hidden beast` number, since 1 + 14 + 4 + 4 + 400 + 10 + 231 + 2 = 666.

11444400102312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 383922298 + ... + 383952105.

It is an arithmetic number, because the mean of its divisors is an integer number (418107612978).

Almost surely, 2^{11444400102312} is an apocalyptic number.

11444400102312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11444400102312 is an abundant number, since it is smaller than the sum of its proper divisors (22004208935928).

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

11444400102312 is a wasteful number, since it uses less digits than its factorization.

11444400102312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767874444 (or 767874431 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 11444400102312 its reverse (21320100444411), we get a palindrome (32764500546723).

The spelling of 11444400102312 in words is "eleven trillion, four hundred forty-four billion, four hundred million, one hundred two thousand, three hundred twelve".