312359690160 has 240 divisors, whose sum is σ = 1212338387520. Its totient is φ = 70594191360.

The previous prime is 312359690143. The next prime is 312359690161. The reversal of 312359690160 is 61096953213.

312359690160 is a `hidden beast` number, since 31 + 23 + 596 + 9 + 0 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (312359690161) 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 47 ways as a sum of consecutive naturals, for example, 100380 + ... + 796740.

It is an arithmetic number, because the mean of its divisors is an integer number (5051409948).

Almost surely, 2^312359690160 is an apocalyptic number.

312359690160 is a gapful number since it is divisible by the number (30) 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 312359690160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606169193760).

312359690160 is an abundant number, since it is smaller than the sum of its proper divisors (899978697360).

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

312359690160 is a wasteful number, since it uses less digits than its factorization.

312359690160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696476 (or 696467 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 312359690160 in words is "three hundred twelve billion, three hundred fifty-nine million, six hundred ninety thousand, one hundred sixty".