10845464640 has 112 divisors (see below), whose sum is σ = 34609747392. Its totient is φ = 2877392896.

The previous prime is 10845464639. The next prime is 10845464671. The reversal of 10845464640 is 4646454801.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10845464592 and 10845464601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160447 + ... + 217793.

Almost surely, 2^10845464640 is an apocalyptic number.

10845464640 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 10845464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17304873696).

10845464640 is an abundant number, since it is smaller than the sum of its proper divisors (23764282752).

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

10845464640 is a wasteful number, since it uses less digits than its factorization.

10845464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57564 (or 57554 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 10845464640 in words is "ten billion, eight hundred forty-five million, four hundred sixty-four thousand, six hundred forty".