31073448048896 has 108 divisors (see below), whose sum is σ = 68674456529196. Its totient is φ = 14021195612160.

The previous prime is 31073448048889. The next prime is 31073448048989. The reversal of 31073448048896 is 69884084437013.

It can be written as a sum of positive squares in 2 ways, for example, as 19106829930496 + 11966618118400 = 4371136^2 + 3459280^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 582596 + ... + 7904828.

Almost surely, 2^{31073448048896} 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 31073448048896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34337228264598).

31073448048896 is an abundant number, since it is smaller than the sum of its proper divisors (37601008480300).

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

31073448048896 is a wasteful number, since it uses less digits than its factorization.

31073448048896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7322408 (or 7322383 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 65.

The spelling of 31073448048896 in words is "thirty-one trillion, seventy-three billion, four hundred forty-eight million, forty-eight thousand, eight hundred ninety-six".