31648821984 has 192 divisors, whose sum is σ = 100003982400. Its totient is φ = 9737515008.

The previous prime is 31648821983. The next prime is 31648822001. The reversal of 31648821984 is 48912884613.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 31648821984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31648821983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1889872 + ... + 1906544.

It is an arithmetic number, because the mean of its divisors is an integer number (520854075).

Almost surely, 2^31648821984 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 31648821984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50001991200).

31648821984 is an abundant number, since it is smaller than the sum of its proper divisors (68355160416).

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

31648821984 is a wasteful number, since it uses less digits than its factorization.

31648821984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16731 (or 16691 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 31648821984 in words is "thirty-one billion, six hundred forty-eight million, eight hundred twenty-one thousand, nine hundred eighty-four".