312161114364 has 192 divisors, whose sum is σ = 849589171200. Its totient is φ = 88160071680.

The previous prime is 312161114341. The next prime is 312161114383. The reversal of 312161114364 is 463411161213.

It is a super-2 number, since 2×312161114364² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124713537 + ... + 124716039.

It is an arithmetic number, because the mean of its divisors is an integer number (4424943600).

Almost surely, 2^312161114364 is an apocalyptic number.

312161114364 is a gapful number since it is divisible by the number (34) 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 312161114364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424794585600).

312161114364 is an abundant number, since it is smaller than the sum of its proper divisors (537428056836).

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

312161114364 is a wasteful number, since it uses less digits than its factorization.

312161114364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3060 (or 3058 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

Adding to 312161114364 its reverse (463411161213), we get a palindrome (775572275577).

The spelling of 312161114364 in words is "three hundred twelve billion, one hundred sixty-one million, one hundred fourteen thousand, three hundred sixty-four".