11145162106240 has 64 divisors (see below), whose sum is σ = 26657562683520. Its totient is φ = 4455779328000.

The previous prime is 11145162106229. The next prime is 11145162106357. The reversal of 11145162106240 is 4260126154111.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 11145162106196 and 11145162106205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3214281 + ... + 5711560.

It is an arithmetic number, because the mean of its divisors is an integer number (416524416930).

Almost surely, 2^{11145162106240} is an apocalyptic number.

11145162106240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11145162106240 is an abundant number, since it is smaller than the sum of its proper divisors (15512400577280).

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

11145162106240 is an equidigital number, since it uses as much as digits as its factorization.

11145162106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8927811 (or 8927799 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 11145162106240 in words is "eleven trillion, one hundred forty-five billion, one hundred sixty-two million, one hundred six thousand, two hundred forty".