314100839844 has 144 divisors (see below), whose sum is σ = 882190370880. Its totient is φ = 93434814720.

The previous prime is 314100839827. The next prime is 314100839909. The reversal of 314100839844 is 448938001413.

314100839844 is a `hidden beast` number, since 31 + 410 + 0 + 83 + 98 + 44 = 666.

It is a super-2 number, since 2×314100839844² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 314100839844.

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, 5129842 + ... + 5190710.

It is an arithmetic number, because the mean of its divisors is an integer number (6126322020).

Almost surely, 2^314100839844 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 314100839844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441095185440).

314100839844 is an abundant number, since it is smaller than the sum of its proper divisors (568089531036).

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

314100839844 is a wasteful number, since it uses less digits than its factorization.

314100839844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61130 (or 61125 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 314100839844 in words is "three hundred fourteen billion, one hundred million, eight hundred thirty-nine thousand, eight hundred forty-four".