31144923446280 has 1024 divisors, whose sum is σ = 116493189120000. Its totient is φ = 6505735864320.

The previous prime is 31144923446267. The next prime is 31144923446317. The reversal of 31144923446280 is 8264432944113.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20777132971 + ... + 20777134469.

It is an arithmetic number, because the mean of its divisors is an integer number (113762880000).

Almost surely, 2^{31144923446280} is an apocalyptic number.

31144923446280 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 31144923446280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58246594560000).

31144923446280 is an abundant number, since it is smaller than the sum of its proper divisors (85348265673720).

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

31144923446280 is a wasteful number, since it uses less digits than its factorization.

31144923446280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 51.

The spelling of 31144923446280 in words is "thirty-one trillion, one hundred forty-four billion, nine hundred twenty-three million, four hundred forty-six thousand, two hundred eighty".