64312123392 has 588 divisors, whose sum is σ = 214342229430. Its totient is φ = 19269550080.

The previous prime is 64312123391. The next prime is 64312123453. The reversal of 64312123392 is 29332121346.

64312123392 is a `hidden beast` number, since 6 + 4 + 312 + 1 + 2 + 339 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61060386816 + 3251736576 = 247104^2 + 57024^2 .

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (64312123391) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 722608084 + ... + 722608172.

Almost surely, 2^64312123392 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 64312123392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107171114715).

64312123392 is an abundant number, since it is smaller than the sum of its proper divisors (150030106038).

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

64312123392 is an frugal number, since it uses more digits than its factorization.

64312123392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 105 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The spelling of 64312123392 in words is "sixty-four billion, three hundred twelve million, one hundred twenty-three thousand, three hundred ninety-two".