11145466640 has 160 divisors (see below), whose sum is σ = 32452565760. Its totient is φ = 3458304000.

The previous prime is 11145466597. The next prime is 11145466663. The reversal of 11145466640 is 4666454111.

It is a junction number, because it is equal to n+sod(n) for n = 11145466594 and 11145466603.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1406690 + ... + 1414590.

It is an arithmetic number, because the mean of its divisors is an integer number (202828536).

Almost surely, 2^11145466640 is an apocalyptic number.

11145466640 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 11145466640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16226282880).

11145466640 is an abundant number, since it is smaller than the sum of its proper divisors (21307099120).

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

11145466640 is a wasteful number, since it uses less digits than its factorization.

11145466640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8161 (or 8155 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 11145466640 in words is "eleven billion, one hundred forty-five million, four hundred sixty-six thousand, six hundred forty".