312659407728 has 200 divisors, whose sum is σ = 935330635008. Its totient is φ = 100771786368.

The previous prime is 312659407699. The next prime is 312659407741. The reversal of 312659407728 is 827704956213.

It is a happy number.

312659407728 is a `hidden beast` number, since 3 + 1 + 26 + 594 + 0 + 7 + 7 + 28 = 666.

It is a super-2 number, since 2×312659407728² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5024775 + ... + 5086617.

It is a 1-persistent number, because it is pandigital, but 2⋅312659407728 = 625318815456 is not.

Almost surely, 2^312659407728 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 312659407728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467665317504).

312659407728 is an abundant number, since it is smaller than the sum of its proper divisors (622671227280).

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

312659407728 is a wasteful number, since it uses less digits than its factorization.

312659407728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61993 (or 61978 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 312659407728 in words is "three hundred twelve billion, six hundred fifty-nine million, four hundred seven thousand, seven hundred twenty-eight".