314431324369344 has 672 divisors, whose sum is σ = 1158313756723200. Its totient is φ = 82904604088320.

The previous prime is 314431324369343. The next prime is 314431324369363. The reversal of 314431324369344 is 443963423134413.

314431324369344 is a `hidden beast` number, since 3 + 1 + 4 + 43 + 13 + 243 + 6 + 9 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314431324369343) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4304941977 + ... + 4305015015.

It is an arithmetic number, because the mean of its divisors is an integer number (1723681185600).

Almost surely, 2^{314431324369344} 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 314431324369344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579156878361600).

314431324369344 is an abundant number, since it is smaller than the sum of its proper divisors (843882432353856).

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

314431324369344 is a wasteful number, since it uses less digits than its factorization.

314431324369344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76998 (or 76975 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 54.

The spelling of 314431324369344 in words is "three hundred fourteen trillion, four hundred thirty-one billion, three hundred twenty-four million, three hundred sixty-nine thousand, three hundred forty-four".