312638114880 has 1792 divisors, whose sum is σ = 1426241617920. Its totient is φ = 62705664000.

The previous prime is 312638114851. The next prime is 312638114881. The reversal of 312638114880 is 88411836213.

312638114880 is a `hidden beast` number, since 3 + 1 + 2 + 638 + 1 + 1 + 4 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (312638114881) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2461717377 + ... + 2461717503.

It is an arithmetic number, because the mean of its divisors is an integer number (795893760).

Almost surely, 2^312638114880 is an apocalyptic number.

312638114880 is a gapful number since it is divisible by the number (30) 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 312638114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713120808960).

312638114880 is an abundant number, since it is smaller than the sum of its proper divisors (1113603503040).

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

312638114880 is a wasteful number, since it uses less digits than its factorization.

312638114880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 312638114880 in words is "three hundred twelve billion, six hundred thirty-eight million, one hundred fourteen thousand, eight hundred eighty".