31632161288 has 108 divisors (see below), whose sum is σ = 74817338445. Its totient is φ = 12495712320.

The previous prime is 31632161287. The next prime is 31632161321. The reversal of 31632161288 is 88216123613.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 27046433764 + 4585727524 = 164458^2 + 67718^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=125762.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31632161287) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45777023 + ... + 45777713.

Almost surely, 2^31632161288 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 31632161288

31632161288 is an abundant number, since it is smaller than the sum of its proper divisors (43185177157).

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

31632161288 is an equidigital number, since it uses as much as digits as its factorization.

31632161288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 713 counting only the distinct ones).

The product of its digits is 82944, while the sum is 41.

The spelling of 31632161288 in words is "thirty-one billion, six hundred thirty-two million, one hundred sixty-one thousand, two hundred eighty-eight".