11146040640 has 336 divisors, whose sum is σ = 45439535232. Its totient is φ = 2547542016.

The previous prime is 11146040627. The next prime is 11146040663. The reversal of 11146040640 is 4604064111.

11146040640 is a `hidden beast` number, since 1 + 1 + 14 + 6 + 0 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 534082 + ... + 554558.

It is an arithmetic number, because the mean of its divisors is an integer number (135236712).

Almost surely, 2^11146040640 is an apocalyptic number.

11146040640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11146040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22719767616).

11146040640 is an abundant number, since it is smaller than the sum of its proper divisors (34293494592).

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

11146040640 is an equidigital number, since it uses as much as digits as its factorization.

11146040640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20516 (or 20494 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

It can be divided in two parts, 111460 and 40640, that added together give a square (152100 = 390²).

The spelling of 11146040640 in words is "eleven billion, one hundred forty-six million, forty thousand, six hundred forty".