31442294912 has 72 divisors (see below), whose sum is σ = 72898272135. Its totient is φ = 13469250816.

The previous prime is 31442294909. The next prime is 31442295013. The reversal of 31442294912 is 21949224413.

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 only one way, i.e., 15721147456 + 15721147456 = 125384^2 + 125384^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=125384.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31442294912.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14041889 + ... + 14044127.

Almost surely, 2^31442294912 is an apocalyptic number.

31442294912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31442294912

31442294912 is an abundant number, since it is smaller than the sum of its proper divisors (41455977223).

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

31442294912 is an frugal number, since it uses more digits than its factorization.

31442294912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4506 (or 2248 counting only the distinct ones).

The product of its digits is 124416, while the sum is 41.

The spelling of 31442294912 in words is "thirty-one billion, four hundred forty-two million, two hundred ninety-four thousand, nine hundred twelve".