31484749824 has 432 divisors, whose sum is σ = 105354194400. Its totient is φ = 9026519040.

The previous prime is 31484749811. The next prime is 31484749831. The reversal of 31484749824 is 42894748413.

31484749824 is a `hidden beast` number, since 3 + 1 + 484 + 74 + 98 + 2 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42374797 + ... + 42375539.

It is an arithmetic number, because the mean of its divisors is an integer number (243875450).

Almost surely, 2^31484749824 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 31484749824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52677097200).

31484749824 is an abundant number, since it is smaller than the sum of its proper divisors (73869444576).

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

31484749824 is a wasteful number, since it uses less digits than its factorization.

31484749824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 778 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 31484749824 in words is "thirty-one billion, four hundred eighty-four million, seven hundred forty-nine thousand, eight hundred twenty-four".