31280014944 has 240 divisors, whose sum is σ = 99094121280. Its totient is φ = 9647527680.

The previous prime is 31280014939. The next prime is 31280015009. The reversal of 31280014944 is 44941008213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 31280014899 and 31280014908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2110279 + ... + 2125049.

It is an arithmetic number, because the mean of its divisors is an integer number (412892172).

Almost surely, 2^31280014944 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 31280014944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49547060640).

31280014944 is an abundant number, since it is smaller than the sum of its proper divisors (67814106336).

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

31280014944 is a wasteful number, since it uses less digits than its factorization.

31280014944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14855 (or 14838 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 31280014944 in words is "thirty-one billion, two hundred eighty million, fourteen thousand, nine hundred forty-four".