312528119904 has 1944 divisors, whose sum is σ = 1331996558760. Its totient is φ = 70988037120.

The previous prime is 312528119857. The next prime is 312528119941. The reversal of 312528119904 is 409911825213.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

312528119904 is a `hidden beast` number, since 3 + 1 + 2 + 528 + 119 + 9 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 312528119904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 16448848407 + ... + 16448848425.

It is an arithmetic number, because the mean of its divisors is an integer number (685183415).

Almost surely, 2^312528119904 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 312528119904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665998279380).

312528119904 is an abundant number, since it is smaller than the sum of its proper divisors (1019468438856).

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

312528119904 is a wasteful number, since it uses less digits than its factorization.

312528119904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 312528119904 in words is "three hundred twelve billion, five hundred twenty-eight million, one hundred nineteen thousand, nine hundred four".