314485166983680 has 1440 divisors, whose sum is σ = 1405579825615680. Its totient is φ = 64239831613440.

The previous prime is 314485166983651. The next prime is 314485166983697. The reversal of 314485166983680 is 86389661584413.

314485166983680 is a `hidden beast` number, since 3 + 1 + 4 + 48 + 516 + 6 + 9 + 8 + 3 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 = 314485166983599 and 314485166983608.

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 143 ways as a sum of consecutive naturals, for example, 732480432 + ... + 732909648.

It is an arithmetic number, because the mean of its divisors is an integer number (976097101122).

Almost surely, 2^{314485166983680} is an apocalyptic number.

314485166983680 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 314485166983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702789912807840).

314485166983680 is an abundant number, since it is smaller than the sum of its proper divisors (1091094658632000).

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

314485166983680 is a wasteful number, since it uses less digits than its factorization.

314485166983680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429330 (or 429304 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 314485166983680 in words is "three hundred fourteen trillion, four hundred eighty-five billion, one hundred sixty-six million, nine hundred eighty-three thousand, six hundred eighty".