11142814940560 has 80 divisors (see below), whose sum is σ = 27935709500160. Its totient is φ = 4119551585280.

The previous prime is 11142814940539. The next prime is 11142814940581. The reversal of 11142814940560 is 6504941824111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11142814940539) and next prime (11142814940581).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11142814940560² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11142814940560.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 89337672 + ... + 89462311.

It is an arithmetic number, because the mean of its divisors is an integer number (349196368752).

Almost surely, 2^{11142814940560} is an apocalyptic number.

11142814940560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11142814940560 is an abundant number, since it is smaller than the sum of its proper divisors (16792894559600).

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

11142814940560 is a wasteful number, since it uses less digits than its factorization.

11142814940560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178800056 (or 178800050 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The spelling of 11142814940560 in words is "eleven trillion, one hundred forty-two billion, eight hundred fourteen million, nine hundred forty thousand, five hundred sixty".