31330416016 has 135 divisors (see below), whose sum is σ = 68556347139. Its totient is φ = 13865785344.

The previous prime is 31330415989. The next prime is 31330416031. The reversal of 31330416016 is 61061403313.

The square root of 31330416016 is 177004.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4381910416 + 26948505600 = 66196^2 + 164160^2 .

It is a super-3 number, since 3×31330416016³ (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 228689100 + ... + 228689236.

Almost surely, 2^31330416016 is an apocalyptic number.

31330416016 is the 177004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31330416016

31330416016 is an abundant number, since it is smaller than the sum of its proper divisors (37225931123).

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

31330416016 is a wasteful number, since it uses less digits than its factorization.

31330416016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 31330416016 its reverse (61061403313), we get a palindrome (92391819329).

The spelling of 31330416016 in words is "thirty-one billion, three hundred thirty million, four hundred sixteen thousand, sixteen".