312465162948 has 144 divisors (see below), whose sum is σ = 801434438784. Its totient is φ = 94650716160.

The previous prime is 312465162937. The next prime is 312465162953. The reversal of 312465162948 is 849261564213.

It is a happy number.

It is a super-2 number, since 2×312465162948² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 312465162948.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11366436 + ... + 11393892.

It is an arithmetic number, because the mean of its divisors is an integer number (5565516936).

Almost surely, 2^312465162948 is an apocalyptic number.

312465162948 is a gapful number since it is divisible by the number (38) 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 312465162948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400717219392).

312465162948 is an abundant number, since it is smaller than the sum of its proper divisors (488969275836).

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

312465162948 is a wasteful number, since it uses less digits than its factorization.

312465162948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27610 (or 27589 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The spelling of 312465162948 in words is "three hundred twelve billion, four hundred sixty-five million, one hundred sixty-two thousand, nine hundred forty-eight".