31532450144 has 72 divisors (see below), whose sum is σ = 67196320128. Its totient is φ = 14479476480.

The previous prime is 31532450137. The next prime is 31532450149. The reversal of 31532450144 is 44105423513.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 31532450144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31532450149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21435329 + ... + 21436799.

It is an arithmetic number, because the mean of its divisors is an integer number (933282224).

Almost surely, 2^31532450144 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 31532450144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33598160064).

31532450144 is an abundant number, since it is smaller than the sum of its proper divisors (35663869984).

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

31532450144 is a wasteful number, since it uses less digits than its factorization.

31532450144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 31532450144 its reverse (44105423513), we get a palindrome (75637873657).

The spelling of 31532450144 in words is "thirty-one billion, five hundred thirty-two million, four hundred fifty thousand, one hundred forty-four".