12145645440 has 384 divisors, whose sum is σ = 45010274400. Its totient is φ = 3125993472.

The previous prime is 12145645399. The next prime is 12145645507. The reversal of 12145645440 is 4454654121.

12145645440 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 5 + 645 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 12145645395 and 12145645404.

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, 4508734 + ... + 4511426.

Almost surely, 2^12145645440 is an apocalyptic number.

12145645440 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 12145645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22505137200).

12145645440 is an abundant number, since it is smaller than the sum of its proper divisors (32864628960).

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

12145645440 is an equidigital number, since it uses as much as digits as its factorization.

12145645440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 12145645440 in words is "twelve billion, one hundred forty-five million, six hundred forty-five thousand, four hundred forty".