312709132656 has 400 divisors, whose sum is σ = 962392569600. Its totient is φ = 97865625600.

The previous prime is 312709132643. The next prime is 312709132663. The reversal of 312709132656 is 656231907213.

312709132656 is a `hidden beast` number, since 3 + 1 + 270 + 9 + 1 + 326 + 56 = 666.

It is a super-2 number, since 2×312709132656² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 377212050 + ... + 377212878.

It is an arithmetic number, because the mean of its divisors is an integer number (2405981424).

Almost surely, 2^312709132656 is an apocalyptic number.

312709132656 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 312709132656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481196284800).

312709132656 is an abundant number, since it is smaller than the sum of its proper divisors (649683436944).

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

312709132656 is a wasteful number, since it uses less digits than its factorization.

312709132656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 312709132656 in words is "three hundred twelve billion, seven hundred nine million, one hundred thirty-two thousand, six hundred fifty-six".