31470747648 has 256 divisors, whose sum is σ = 90595584000. Its totient is φ = 9688842240.

The previous prime is 31470747643. The next prime is 31470747691. The reversal of 31470747648 is 84674707413.

It is a tau number, because it is divible by the number of its divisors (256).

It is a self number, because there is not a number n which added to its sum of digits gives 31470747648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31470747643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70090528 + ... + 70090976.

It is an arithmetic number, because the mean of its divisors is an integer number (353889000).

Almost surely, 2^31470747648 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 31470747648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45297792000).

31470747648 is an abundant number, since it is smaller than the sum of its proper divisors (59124836352).

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

31470747648 is an equidigital number, since it uses as much as digits as its factorization.

31470747648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 51.

The spelling of 31470747648 in words is "thirty-one billion, four hundred seventy million, seven hundred forty-seven thousand, six hundred forty-eight".