11146263840 has 72 divisors (see below), whose sum is σ = 38036630268. Its totient is φ = 2972336640.

The previous prime is 11146263833. The next prime is 11146263847. The reversal of 11146263840 is 4836264111.

11146263840 is a `hidden beast` number, since 1 + 1 + 14 + 6 + 2 + 638 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11146263833) and next prime (11146263847).

It can be written as a sum of positive squares in 2 ways, for example, as 10201808016 + 944455824 = 101004^2 + 30732^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11146263795 and 11146263804.

It is not an unprimeable number, because it can be changed into a prime (11146263847) 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, 3868791 + ... + 3871670.

Almost surely, 2^11146263840 is an apocalyptic number.

11146263840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11146263840 is an abundant number, since it is smaller than the sum of its proper divisors (26890366428).

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

11146263840 is a wasteful number, since it uses less digits than its factorization.

11146263840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7740482 (or 7740471 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 11146263840 in words is "eleven billion, one hundred forty-six million, two hundred sixty-three thousand, eight hundred forty".