314342884416672 has 144 divisors (see below), whose sum is σ = 897849259987680. Its totient is φ = 104320435462656.

The previous prime is 314342884416667. The next prime is 314342884416707. The reversal of 314342884416672 is 276614488243413.

314342884416672 is a `hidden beast` number, since 3 + 1 + 4 + 3 + 42 + 88 + 441 + 6 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×314342884416672² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63471298 + ... + 68244350.

It is an arithmetic number, because the mean of its divisors is an integer number (6235064305470).

Almost surely, 2^{314342884416672} is an apocalyptic number.

314342884416672 is a gapful number since it is divisible by the number (32) 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 314342884416672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448924629993840).

314342884416672 is an abundant number, since it is smaller than the sum of its proper divisors (583506375571008).

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

314342884416672 is a wasteful number, since it uses less digits than its factorization.

314342884416672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4774075 (or 4774064 counting only the distinct ones).

The product of its digits is 148635648, while the sum is 63.

The spelling of 314342884416672 in words is "three hundred fourteen trillion, three hundred forty-two billion, eight hundred eighty-four million, four hundred sixteen thousand, six hundred seventy-two".