12584114640 has 280 divisors, whose sum is σ = 44810131968. Its totient is φ = 3283649280.

The previous prime is 12584114639. The next prime is 12584114657. The reversal of 12584114640 is 4641148521.

12584114640 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 4 + 1 + 1 + 4 + 640 = 666.

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 = 12584114595 and 12584114604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2738745 + ... + 2743335.

Almost surely, 2^12584114640 is an apocalyptic number.

12584114640 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 12584114640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22405065984).

12584114640 is an abundant number, since it is smaller than the sum of its proper divisors (32226017328).

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

12584114640 is an equidigital number, since it uses as much as digits as its factorization.

12584114640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4669 (or 4648 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 12584114640 in words is "twelve billion, five hundred eighty-four million, one hundred fourteen thousand, six hundred forty".