31484848506048 has 1120 divisors, whose sum is σ = 113566899916800. Its totient is φ = 8424916531200.

The previous prime is 31484848506031. The next prime is 31484848506049. The reversal of 31484848506048 is 84060584848413.

It is a happy number.

31484848506048 is a `hidden beast` number, since 3 + 1 + 4 + 8 + 4 + 84 + 8 + 506 + 0 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (31484848506049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 32425178203 + ... + 32425179173.

Almost surely, 2^{31484848506048} is an apocalyptic number.

31484848506048 is a gapful number since it is divisible by the number (38) 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 31484848506048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56783449958400).

31484848506048 is an abundant number, since it is smaller than the sum of its proper divisors (82082051410752).

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

31484848506048 is a wasteful number, since it uses less digits than its factorization.

31484848506048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 94371840, while the sum is 63.

The spelling of 31484848506048 in words is "thirty-one trillion, four hundred eighty-four billion, eight hundred forty-eight million, five hundred six thousand, forty-eight".