11445800670 has 96 divisors (see below), whose sum is σ = 30903241824. Its totient is φ = 2936908800.

The previous prime is 11445800657. The next prime is 11445800693. The reversal of 11445800670 is 7600854411.

It is a happy number.

11445800670 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 580 + 0 + 6 + 70 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248125 + ... + 290615.

It is an arithmetic number, because the mean of its divisors is an integer number (321908769).

Almost surely, 2^11445800670 is an apocalyptic number.

11445800670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11445800670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15451620912).

11445800670 is an abundant number, since it is smaller than the sum of its proper divisors (19457441154).

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

11445800670 is a wasteful number, since it uses less digits than its factorization.

11445800670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42618 (or 42615 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 11445800670 in words is "eleven billion, four hundred forty-five million, eight hundred thousand, six hundred seventy".