32014314320 has 80 divisors (see below), whose sum is σ = 79267850640. Its totient is φ = 11982692352.

The previous prime is 32014314313. The next prime is 32014314341. The reversal of 32014314320 is 2341341023.

It can be written as a sum of positive squares in 8 ways, for example, as 2630869264 + 29383445056 = 51292^2 + 171416^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167246 + ... + 303314.

It is an arithmetic number, because the mean of its divisors is an integer number (990848133).

Almost surely, 2^32014314320 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 32014314320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39633925320).

32014314320 is an abundant number, since it is smaller than the sum of its proper divisors (47253536320).

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

32014314320 is a wasteful number, since it uses less digits than its factorization.

32014314320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136272 (or 136266 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 32014314320 its reverse (2341341023), we get a palindrome (34355655343).

It can be divided in two parts, 320 and 14314320, that multiplied together give a square (4580582400 = 67680²).

The spelling of 32014314320 in words is "thirty-two billion, fourteen million, three hundred fourteen thousand, three hundred twenty".