32048820648 has 144 divisors (see below), whose sum is σ = 99518756220. Its totient is φ = 9281046528.

The previous prime is 32048820641. The next prime is 32048820653. The reversal of 32048820648 is 84602884023.

32048820648 is a `hidden beast` number, since 320 + 4 + 88 + 206 + 48 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 19015858404 + 13032962244 = 137898^2 + 114162^2 .

It is a super-2 number, since 2×32048820648² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32048820641) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 129390 + ... + 284322.

Almost surely, 2^32048820648 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 32048820648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49759378110).

32048820648 is an abundant number, since it is smaller than the sum of its proper divisors (67469935572).

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

32048820648 is a wasteful number, since it uses less digits than its factorization.

32048820648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154988 (or 154968 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 32048820648 in words is "thirty-two billion, forty-eight million, eight hundred twenty thousand, six hundred forty-eight".