314245552114320 has 40 divisors (see below), whose sum is σ = 974161211555136. Its totient is φ = 83798813897088.

The previous prime is 314245552114313. The next prime is 314245552114327. The reversal of 314245552114320 is 23411255542413.

It is an interprime number because it is at equal distance from previous prime (314245552114313) and next prime (314245552114327).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (314245552114327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 654678233332 + ... + 654678233811.

Almost surely, 2^{314245552114320} is an apocalyptic number.

314245552114320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314245552114320 is an abundant number, since it is smaller than the sum of its proper divisors (659915659440816).

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

314245552114320 is a wasteful number, since it uses less digits than its factorization.

314245552114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309356467159 (or 1309356467153 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 314245552114320 in words is "three hundred fourteen trillion, two hundred forty-five billion, five hundred fifty-two million, one hundred fourteen thousand, three hundred twenty".