314048036736 has 384 divisors, whose sum is σ = 1077751584000. Its totient is φ = 89167454208.

The previous prime is 314048036719. The next prime is 314048036791. The reversal of 314048036736 is 637630840413.

314048036736 is a `hidden beast` number, since 31 + 40 + 480 + 36 + 73 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 314048036691 and 314048036700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35485240 + ... + 35494088.

It is an arithmetic number, because the mean of its divisors is an integer number (2806644750).

Almost surely, 2^314048036736 is an apocalyptic number.

314048036736 is a gapful number since it is divisible by the number (36) 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 314048036736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538875792000).

314048036736 is an abundant number, since it is smaller than the sum of its proper divisors (763703547264).

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

314048036736 is an equidigital number, since it uses as much as digits as its factorization.

314048036736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9048 (or 9024 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 314048036736 in words is "three hundred fourteen billion, forty-eight million, thirty-six thousand, seven hundred thirty-six".