31461348475128 has 256 divisors, whose sum is σ = 97216048419840. Its totient is φ = 8353685606400.

The previous prime is 31461348475099. The next prime is 31461348475181. The reversal of 31461348475128 is 82157484316413.

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 63 ways as a sum of consecutive naturals, for example, 2184901 + ... + 8227787.

It is an arithmetic number, because the mean of its divisors is an integer number (379750189140).

Almost surely, 2^{31461348475128} 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 31461348475128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48608024209920).

31461348475128 is an abundant number, since it is smaller than the sum of its proper divisors (65754699944712).

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

31461348475128 is a wasteful number, since it uses less digits than its factorization.

31461348475128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6042998 (or 6042994 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 57.

The spelling of 31461348475128 in words is "thirty-one trillion, four hundred sixty-one billion, three hundred forty-eight million, four hundred seventy-five thousand, one hundred twenty-eight".