12625614144 has 336 divisors, whose sum is σ = 42814524480. Its totient is φ = 3527746560.

The previous prime is 12625614143. The next prime is 12625614149. The reversal of 12625614144 is 44141652621.

12625614144 is a `hidden beast` number, since 1 + 2 + 6 + 25 + 614 + 14 + 4 = 666.

It is a super-2 number, since 2×12625614144² (a number of 21 digits) contains 22 as substring.

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 = 12625614099 and 12625614108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12625614143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13919739 + ... + 13920645.

It is an arithmetic number, because the mean of its divisors is an integer number (127424180).

Almost surely, 2^12625614144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12625614144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21407262240).

12625614144 is an abundant number, since it is smaller than the sum of its proper divisors (30188910336).

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

12625614144 is a wasteful number, since it uses less digits than its factorization.

12625614144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 936 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The spelling of 12625614144 in words is "twelve billion, six hundred twenty-five million, six hundred fourteen thousand, one hundred forty-four".