31124072448 has 480 divisors, whose sum is σ = 108612504000. Its totient is φ = 8876335104.

The previous prime is 31124072389. The next prime is 31124072449. The reversal of 31124072448 is 84427042113.

31124072448 is a `hidden beast` number, since 3 + 1 + 1 + 2 + 407 + 244 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31124072449) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 56899311 + ... + 56899857.

It is an arithmetic number, because the mean of its divisors is an integer number (226276050).

Almost surely, 2^31124072448 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 31124072448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54306252000).

31124072448 is an abundant number, since it is smaller than the sum of its proper divisors (77488431552).

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

31124072448 is an frugal number, since it uses more digits than its factorization.

31124072448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 31124072448 in words is "thirty-one billion, one hundred twenty-four million, seventy-two thousand, four hundred forty-eight".