312253350881472 has 3528 divisors, whose sum is σ = 1320980858257536. Its totient is φ = 72425041920000.

The previous prime is 312253350881431. The next prime is 312253350881513. The reversal of 312253350881472 is 274188053352213.

312253350881472 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 53 + 3 + 508 + 8 + 14 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (312253350881431) and next prime (312253350881513).

It is a tau number, because it is divible by the number of its divisors (3528).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 111479238472 + ... + 111479241272.

It is an arithmetic number, because the mean of its divisors is an integer number (374427680912).

Almost surely, 2^{312253350881472} is an apocalyptic number.

312253350881472 is a gapful number since it is divisible by the number (32) 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 312253350881472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660490429128768).

312253350881472 is an abundant number, since it is smaller than the sum of its proper divisors (1008727507376064).

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

312253350881472 is a wasteful number, since it uses less digits than its factorization.

312253350881472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 312253350881472 in words is "three hundred twelve trillion, two hundred fifty-three billion, three hundred fifty million, eight hundred eighty-one thousand, four hundred seventy-two".