314074377216 has 132 divisors (see below), whose sum is σ = 908076744432. Its totient is φ = 104553652224.

The previous prime is 314074377143. The next prime is 314074377233. The reversal of 314074377216 is 612773470413.

It is a happy number.

314074377216 is a `hidden beast` number, since 3 + 140 + 7 + 437 + 72 + 1 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7101925 + ... + 7146011.

It is an arithmetic number, because the mean of its divisors is an integer number (6879369276).

Almost surely, 2^314074377216 is an apocalyptic number.

314074377216 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 314074377216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454038372216).

314074377216 is an abundant number, since it is smaller than the sum of its proper divisors (594002367216).

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

314074377216 is a wasteful number, since it uses less digits than its factorization.

314074377216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44886 (or 44865 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 314074377216 in words is "three hundred fourteen billion, seventy-four million, three hundred seventy-seven thousand, two hundred sixteen".