31071738048 has 224 divisors, whose sum is σ = 91243830720. Its totient is φ = 9269821440.

The previous prime is 31071738043. The next prime is 31071738121. The reversal of 31071738048 is 84083717013.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (31071738043) by changing a digit.

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, 47006838 + ... + 47007498.

It is an arithmetic number, because the mean of its divisors is an integer number (407338530).

Almost surely, 2^31071738048 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 31071738048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45621915360).

31071738048 is an abundant number, since it is smaller than the sum of its proper divisors (60172092672).

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

31071738048 is a wasteful number, since it uses less digits than its factorization.

31071738048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 31071738048 in words is "thirty-one billion, seventy-one million, seven hundred thirty-eight thousand, forty-eight".