314644532140032 has 48 divisors (see below), whose sum is σ = 838847239022520. Its totient is φ = 104881510711296.

The previous prime is 314644532140027. The next prime is 314644532140067. The reversal of 314644532140032 is 230041235446413.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×314644532140032² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 3 ways as a sum of consecutive naturals, for example, 25605831433 + ... + 25605843720.

Almost surely, 2^{314644532140032} is an apocalyptic number.

314644532140032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

314644532140032 is an abundant number, since it is smaller than the sum of its proper divisors (524202706882488).

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

314644532140032 is an equidigital number, since it uses as much as digits as its factorization.

314644532140032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51211675178 (or 51211675158 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

Adding to 314644532140032 its reverse (230041235446413), we get a palindrome (544685767586445).

The spelling of 314644532140032 in words is "three hundred fourteen trillion, six hundred forty-four billion, five hundred thirty-two million, one hundred forty thousand, thirty-two".