314214123040398 has 192 divisors, whose sum is σ = 813718959685632. Its totient is φ = 85771882082880.

The previous prime is 314214123040289. The next prime is 314214123040399. The reversal of 314214123040398 is 893040321412413.

314214123040398 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 1 + 4 + 1 + 230 + 403 + 9 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314214123040399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45638265 + ... + 52069947.

It is an arithmetic number, because the mean of its divisors is an integer number (4238119581696).

Almost surely, 2^{314214123040398} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314214123040398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406859479842816).

314214123040398 is an abundant number, since it is smaller than the sum of its proper divisors (499504836645234).

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

314214123040398 is a wasteful number, since it uses less digits than its factorization.

314214123040398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6431939 (or 6431936 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 314214123040398 in words is "three hundred fourteen trillion, two hundred fourteen billion, one hundred twenty-three million, forty thousand, three hundred ninety-eight".