31409648208 has 160 divisors (see below), whose sum is σ = 90994176000. Its totient is φ = 10373184000.

The previous prime is 31409648197. The next prime is 31409648227. The reversal of 31409648208 is 80284690413.

It is a happy number.

31409648208 is a `hidden beast` number, since 31 + 409 + 6 + 4 + 8 + 208 = 666.

It is a super-2 number, since 2×31409648208² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27288433 + ... + 27289583.

It is an arithmetic number, because the mean of its divisors is an integer number (568713600).

Almost surely, 2^31409648208 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 31409648208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45497088000).

31409648208 is an abundant number, since it is smaller than the sum of its proper divisors (59584527792).

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

31409648208 is a wasteful number, since it uses less digits than its factorization.

31409648208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 31409648208 in words is "thirty-one billion, four hundred nine million, six hundred forty-eight thousand, two hundred eight".