11145088135152 has 30 divisors (see below), whose sum is σ = 31190767489752. Its totient is φ = 3715029378336.

The previous prime is 11145088135127. The next prime is 11145088135201. The reversal of 11145088135152 is 25153188054111.

11145088135152 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 50 + 8 + 81 + 3 + 515 + 2 = 666.

11145088135152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11145088135098 and 11145088135107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 38698222548 + ... + 38698222835.

Almost surely, 2^{11145088135152} is an apocalyptic number.

11145088135152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11145088135152 is an abundant number, since it is smaller than the sum of its proper divisors (20045679354600).

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

11145088135152 is a wasteful number, since it uses less digits than its factorization.

11145088135152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77396445397 (or 77396445388 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 45.

The spelling of 11145088135152 in words is "eleven trillion, one hundred forty-five billion, eighty-eight million, one hundred thirty-five thousand, one hundred fifty-two".