314685769402368 has 4608 divisors, whose sum is σ = 1312084797004800. Its totient is φ = 73456926326784.

The previous prime is 314685769402327. The next prime is 314685769402393. The reversal of 314685769402368 is 863204967586413.

It is a happy number.

314685769402368 is a `hidden beast` number, since 3 + 1 + 4 + 6 + 8 + 576 + 9 + 40 + 2 + 3 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 314685769402296 and 314685769402305.

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 383 ways as a sum of consecutive naturals, for example, 1005385844580 + ... + 1005385844892.

It is an arithmetic number, because the mean of its divisors is an integer number (284740624350).

It is a 2-persistent number, because it is pandigital, and so is 2⋅314685769402368 = 629371538804736, but 3⋅314685769402368 = 944057308207104 is not.

Almost surely, 2^{314685769402368} 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 314685769402368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656042398502400).

314685769402368 is an abundant number, since it is smaller than the sum of its proper divisors (997399027602432).

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

314685769402368 is a wasteful number, since it uses less digits than its factorization.

314685769402368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 314685769402368 in words is "three hundred fourteen trillion, six hundred eighty-five billion, seven hundred sixty-nine million, four hundred two thousand, three hundred sixty-eight".