11154444213000 has 128 divisors (see below), whose sum is σ = 37965672051840. Its totient is φ = 2704107680000.

The previous prime is 11154444212999. The next prime is 11154444213001. The reversal of 11154444213000 is 31244445111.

It is an interprime number because it is at equal distance from previous prime (11154444212999) and next prime (11154444213001).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (11154444213001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168973731 + ... + 169039730.

It is an arithmetic number, because the mean of its divisors is an integer number (296606812905).

Almost surely, 2^{11154444213000} is an apocalyptic number.

11154444213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11154444213000 is an abundant number, since it is smaller than the sum of its proper divisors (26811227838840).

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

11154444213000 is a wasteful number, since it uses less digits than its factorization.

11154444213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338013496 (or 338013482 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 11154444213000 its reverse (31244445111), we get a palindrome (11185688658111).

The spelling of 11154444213000 in words is "eleven trillion, one hundred fifty-four billion, four hundred forty-four million, two hundred thirteen thousand".