3126352523616 has 1920 divisors, whose sum is σ = 12097664409600. Its totient is φ = 771548405760.

The previous prime is 3126352523561. The next prime is 3126352523629. The reversal of 3126352523616 is 6163252536213.

3126352523616 is a `hidden beast` number, since 3 + 1 + 2 + 6 + 3 + 5 + 2 + 5 + 23 + 616 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 19180076751 + ... + 19180076913.

It is an arithmetic number, because the mean of its divisors is an integer number (6300866880).

Almost surely, 2^{3126352523616} is an apocalyptic number.

3126352523616 is a gapful number since it is divisible by the number (36) 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 3126352523616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048832204800).

3126352523616 is an abundant number, since it is smaller than the sum of its proper divisors (8971311885984).

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

3126352523616 is a wasteful number, since it uses less digits than its factorization.

3126352523616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 317 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The spelling of 3126352523616 in words is "three trillion, one hundred twenty-six billion, three hundred fifty-two million, five hundred twenty-three thousand, six hundred sixteen".