31483419552 has 720 divisors, whose sum is σ = 109692713592. Its totient is φ = 8798699520.

The previous prime is 31483419533. The next prime is 31483419581. The reversal of 31483419552 is 25591438413.

31483419552 is a `hidden beast` number, since 3 + 1 + 4 + 83 + 4 + 19 + 552 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2842595856 + 28640823696 = 53316^2 + 169236^2 .

It is a junction number, because it is equal to n+sod(n) for n = 31483419498 and 31483419507.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 516121602 + ... + 516121662.

Almost surely, 2^31483419552 is an apocalyptic number.

31483419552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31483419552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54846356796).

31483419552 is an abundant number, since it is smaller than the sum of its proper divisors (78209294040).

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

31483419552 is a wasteful number, since it uses less digits than its factorization.

31483419552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 149 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 31483419552 in words is "thirty-one billion, four hundred eighty-three million, four hundred nineteen thousand, five hundred fifty-two".