12514581648 has 120 divisors (see below), whose sum is σ = 38232448800. Its totient is φ = 3951949824.

The previous prime is 12514581647. The next prime is 12514581689. The reversal of 12514581648 is 84618541521.

12514581648 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 4 + 581 + 64 + 8 = 666.

It is a super-2 number, since 2×12514581648² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12514581643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10833 + ... + 158576.

It is an arithmetic number, because the mean of its divisors is an integer number (318603740).

Almost surely, 2^12514581648 is an apocalyptic number.

12514581648 is a gapful number since it is divisible by the number (18) 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 12514581648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19116224400).

12514581648 is an abundant number, since it is smaller than the sum of its proper divisors (25717867152).

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

12514581648 is a wasteful number, since it uses less digits than its factorization.

12514581648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169451 (or 169433 counting only the distinct ones).

The product of its digits is 307200, while the sum is 45.

The spelling of 12514581648 in words is "twelve billion, five hundred fourteen million, five hundred eighty-one thousand, six hundred forty-eight".