312140506464 has 144 divisors (see below), whose sum is σ = 935415752544. Its totient is φ = 98537472000.

The previous prime is 312140506459. The next prime is 312140506493. The reversal of 312140506464 is 464605041213.

312140506464 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 4 + 0 + 5 + 0 + 646 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435744 + ... + 902304.

It is an arithmetic number, because the mean of its divisors is an integer number (6495942726).

Almost surely, 2^312140506464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312140506464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467707876272).

312140506464 is an abundant number, since it is smaller than the sum of its proper divisors (623275246080).

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

312140506464 is a wasteful number, since it uses less digits than its factorization.

312140506464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466701 (or 466690 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 312140506464 its reverse (464605041213), we get a palindrome (776745547677).

The spelling of 312140506464 in words is "three hundred twelve billion, one hundred forty million, five hundred six thousand, four hundred sixty-four".