31006048128 has 256 divisors, whose sum is σ = 96939037440. Its totient is φ = 8675164160.

The previous prime is 31006048121. The next prime is 31006048147. The reversal of 31006048128 is 82184060013.

It is a super-2 number, since 2×31006048128² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31006048121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3801751 + ... + 3809897.

It is an arithmetic number, because the mean of its divisors is an integer number (378668115).

Almost surely, 2^31006048128 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 31006048128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48469518720).

31006048128 is an abundant number, since it is smaller than the sum of its proper divisors (65932989312).

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

31006048128 is a wasteful number, since it uses less digits than its factorization.

31006048128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8245 (or 8233 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 31006048128 in words is "thirty-one billion, six million, forty-eight thousand, one hundred twenty-eight".