312583138854 has 256 divisors, whose sum is σ = 820936581120. Its totient is φ = 77275054080.

The previous prime is 312583138853. The next prime is 312583138859. The reversal of 312583138854 is 458831385213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 312583138797 and 312583138806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312583138853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36003394 + ... + 36012074.

It is an arithmetic number, because the mean of its divisors is an integer number (3206783520).

Almost surely, 2^312583138854 is an apocalyptic number.

312583138854 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312583138854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410468290560).

312583138854 is an abundant number, since it is smaller than the sum of its proper divisors (508353442266).

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

312583138854 is a wasteful number, since it uses less digits than its factorization.

312583138854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8823.

The product of its digits is 2764800, while the sum is 51.

The spelling of 312583138854 in words is "three hundred twelve billion, five hundred eighty-three million, one hundred thirty-eight thousand, eight hundred fifty-four".