314642542032 has 360 divisors, whose sum is σ = 1108959022080. Its totient is φ = 82543587840.

The previous prime is 314642542007. The next prime is 314642542033. The reversal of 314642542032 is 230245246413.

314642542032 is a `hidden beast` number, since 3 + 1 + 4 + 642 + 5 + 4 + 2 + 0 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314642542033) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17511069 + ... + 17529027.

It is an arithmetic number, because the mean of its divisors is an integer number (3080441728).

Almost surely, 2^314642542032 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 314642542032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554479511040).

314642542032 is an abundant number, since it is smaller than the sum of its proper divisors (794316480048).

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

314642542032 is a wasteful number, since it uses less digits than its factorization.

314642542032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18191 (or 18175 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 314642542032 its reverse (230245246413), we get a palindrome (544887788445).

The spelling of 314642542032 in words is "three hundred fourteen billion, six hundred forty-two million, five hundred forty-two thousand, thirty-two".