11145101413152 has 72 divisors (see below), whose sum is σ = 34032363258096. Its totient is φ = 3184314688128.

The previous prime is 11145101413087. The next prime is 11145101413153. The reversal of 11145101413152 is 25131410154111.

It is not an unprimeable number, because it can be changed into a prime (11145101413153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1184636178 + ... + 1184645585.

It is an arithmetic number, because the mean of its divisors is an integer number (472671711918).

Almost surely, 2^{11145101413152} is an apocalyptic number.

11145101413152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11145101413152 is an abundant number, since it is smaller than the sum of its proper divisors (22887261844944).

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

11145101413152 is a wasteful number, since it uses less digits than its factorization.

11145101413152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369281790 (or 2369281775 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 30.

Adding to 11145101413152 its reverse (25131410154111), we get a palindrome (36276511567263).

The spelling of 11145101413152 in words is "eleven trillion, one hundred forty-five billion, one hundred one million, four hundred thirteen thousand, one hundred fifty-two".