31148399772672 has 352 divisors, whose sum is σ = 102985418145792. Its totient is φ = 8150268542976.

The previous prime is 31148399772653. The next prime is 31148399772719. The reversal of 31148399772672 is 27627799384113.

It is a junction number, because it is equal to n+sod(n) for n = 31148399772597 and 31148399772606.

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 31 ways as a sum of consecutive naturals, for example, 35064433 + ... + 35941775.

Almost surely, 2^{31148399772672} is an apocalyptic number.

31148399772672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31148399772672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51492709072896).

31148399772672 is an abundant number, since it is smaller than the sum of its proper divisors (71837018373120).

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

31148399772672 is a wasteful number, since it uses less digits than its factorization.

31148399772672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877513 (or 877495 counting only the distinct ones).

The product of its digits is 192036096, while the sum is 69.

The spelling of 31148399772672 in words is "thirty-one trillion, one hundred forty-eight billion, three hundred ninety-nine million, seven hundred seventy-two thousand, six hundred seventy-two".