612736252128 has 1080 divisors, whose sum is σ = 2482194490776. Its totient is φ = 146861890560.

The previous prime is 612736252123. The next prime is 612736252187. The reversal of 612736252128 is 821252637216.

612736252128 is a `hidden beast` number, since 6 + 1 + 2 + 7 + 3 + 625 + 2 + 12 + 8 = 666.

612736252128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612736252123) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 199782051 + ... + 199785117.

Almost surely, 2^612736252128 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 612736252128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241097245388).

612736252128 is an abundant number, since it is smaller than the sum of its proper divisors (1869458238648).

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

612736252128 is a wasteful number, since it uses less digits than its factorization.

612736252128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138 (or 3103 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 612736252128 in words is "six hundred twelve billion, seven hundred thirty-six million, two hundred fifty-two thousand, one hundred twenty-eight".