312764083164 has 96 divisors (see below), whose sum is σ = 873762120000. Its totient is φ = 96178053888.

The previous prime is 312764083153. The next prime is 312764083217. The reversal of 312764083164 is 461380467213.

312764083164 is a `hidden beast` number, since 3 + 12 + 76 + 408 + 3 + 164 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2334262 + ... + 2464610.

It is an arithmetic number, because the mean of its divisors is an integer number (9101688750).

Almost surely, 2^312764083164 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 312764083164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436881060000).

312764083164 is an abundant number, since it is smaller than the sum of its proper divisors (560998036836).

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

312764083164 is a wasteful number, since it uses less digits than its factorization.

312764083164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132084 (or 132076 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 312764083164 in words is "three hundred twelve billion, seven hundred sixty-four million, eighty-three thousand, one hundred sixty-four".