31058961408 has 132 divisors (see below), whose sum is σ = 93004380560. Its totient is φ = 10352904192.

The previous prime is 31058961407. The next prime is 31058961413. The reversal of 31058961408 is 80416985013.

31058961408 is a `hidden beast` number, since 3 + 1 + 0 + 589 + 61 + 4 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (31058961403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 186423 + ... + 311241.

Almost surely, 2^31058961408 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 31058961408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46502190280).

31058961408 is an abundant number, since it is smaller than the sum of its proper divisors (61945419152).

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

31058961408 is an equidigital number, since it uses as much as digits as its factorization.

31058961408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124854 (or 124824 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 31058961408 in words is "thirty-one billion, fifty-eight million, nine hundred sixty-one thousand, four hundred eight".