31480583904 has 1152 divisors, whose sum is σ = 125483904000. Its totient is φ = 7681443840.

The previous prime is 31480583881. The next prime is 31480583947. The reversal of 31480583904 is 40938508413.

31480583904 is a `hidden beast` number, since 3 + 1 + 480 + 5 + 83 + 90 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 31480583904.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 850826574 + ... + 850826610.

It is an arithmetic number, because the mean of its divisors is an integer number (108927000).

Almost surely, 2^31480583904 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 31480583904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62741952000).

31480583904 is an abundant number, since it is smaller than the sum of its proper divisors (94003320096).

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

31480583904 is a wasteful number, since it uses less digits than its factorization.

31480583904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 31480583904 in words is "thirty-one billion, four hundred eighty million, five hundred eighty-three thousand, nine hundred four".