312622263954 has 384 divisors, whose sum is σ = 965351761920. Its totient is φ = 71000012160.

The previous prime is 312622263953. The next prime is 312622264037. The reversal of 312622263954 is 459362226213.

312622263954 is a `hidden beast` number, since 3 + 1 + 2 + 6 + 2 + 2 + 2 + 639 + 5 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (312622263953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41419609 + ... + 41427155.

It is an arithmetic number, because the mean of its divisors is an integer number (2513936880).

Almost surely, 2^312622263954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312622263954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482675880960).

312622263954 is an abundant number, since it is smaller than the sum of its proper divisors (652729497966).

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

312622263954 is a wasteful number, since it uses less digits than its factorization.

312622263954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7627 (or 7602 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 312622263954 in words is "three hundred twelve billion, six hundred twenty-two million, two hundred sixty-three thousand, nine hundred fifty-four".