31783763772648 has 128 divisors (see below), whose sum is σ = 90679319136000. Its totient is φ = 10307688618240.

The previous prime is 31783763772643. The next prime is 31783763772679. The reversal of 31783763772648 is 84627736738713.

31783763772648 is a `hidden beast` number, since 31 + 78 + 376 + 37 + 72 + 64 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (31783763772643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162611458 + ... + 162806798.

It is an arithmetic number, because the mean of its divisors is an integer number (708432180750).

Almost surely, 2^{31783763772648} 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 31783763772648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45339659568000).

31783763772648 is an abundant number, since it is smaller than the sum of its proper divisors (58895555363352).

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

31783763772648 is a wasteful number, since it uses less digits than its factorization.

31783763772648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215752 (or 215742 counting only the distinct ones).

The product of its digits is 1194891264, while the sum is 72.

The spelling of 31783763772648 in words is "thirty-one trillion, seven hundred eighty-three billion, seven hundred sixty-three million, seven hundred seventy-two thousand, six hundred forty-eight".