31482008448 has 384 divisors, whose sum is σ = 97284499200. Its totient is φ = 8995430400.

The previous prime is 31482008431. The next prime is 31482008477. The reversal of 31482008448 is 84480028413.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×31482008448² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95111643 + ... + 95111973.

It is an arithmetic number, because the mean of its divisors is an integer number (253345050).

Almost surely, 2^31482008448 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 31482008448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48642249600).

31482008448 is an abundant number, since it is smaller than the sum of its proper divisors (65802490752).

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

31482008448 is a wasteful number, since it uses less digits than its factorization.

31482008448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The spelling of 31482008448 in words is "thirty-one billion, four hundred eighty-two million, eight thousand, four hundred forty-eight".