312729234048 has 1024 divisors, whose sum is σ = 1200232857600. Its totient is φ = 77793177600.

The previous prime is 312729234023. The next prime is 312729234067. The reversal of 312729234048 is 840432927213.

312729234048 is a `hidden beast` number, since 3 + 12 + 7 + 292 + 340 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 312729233994 and 312729234012.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1377661711 + ... + 1377661937.

It is an arithmetic number, because the mean of its divisors is an integer number (1172102400).

Almost surely, 2^312729234048 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 312729234048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600116428800).

312729234048 is an abundant number, since it is smaller than the sum of its proper divisors (887503623552).

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

312729234048 is a wasteful number, since it uses less digits than its factorization.

312729234048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 312729234048 in words is "three hundred twelve billion, seven hundred twenty-nine million, two hundred thirty-four thousand, forty-eight".