31148805680160 has 1152 divisors, whose sum is σ = 118382281726464. Its totient is φ = 6860608634880.

The previous prime is 31148805680143. The next prime is 31148805680203. The reversal of 31148805680160 is 6108650884113.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31242532782 + ... + 31242533778.

It is an arithmetic number, because the mean of its divisors is an integer number (102762397332).

Almost surely, 2^{31148805680160} is an apocalyptic number.

31148805680160 is a gapful number since it is divisible by the number (30) 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 31148805680160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59191140863232).

31148805680160 is an abundant number, since it is smaller than the sum of its proper divisors (87233476046304).

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

31148805680160 is a wasteful number, since it uses less digits than its factorization.

31148805680160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 51.

The spelling of 31148805680160 in words is "thirty-one trillion, one hundred forty-eight billion, eight hundred five million, six hundred eighty thousand, one hundred sixty".