1648852848 has 200 divisors, whose sum is σ = 5132988432. Its totient is φ = 509110272.

The previous prime is 1648852837. The next prime is 1648852871. The reversal of 1648852848 is 8482588461.

It is a super-3 number, since 3×1648852848³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 1648852794 and 1648852803.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1475586 + ... + 1476702.

Almost surely, 2^1648852848 is an apocalyptic number.

1648852848 is a gapful number since it is divisible by the number (18) 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 1648852848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566494216).

1648852848 is an abundant number, since it is smaller than the sum of its proper divisors (3484135584).

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

1648852848 is a wasteful number, since it uses less digits than its factorization.

1648852848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1206 counting only the distinct ones).

The product of its digits is 3932160, while the sum is 54.

The square root of 1648852848 is about 40606.0691030294. The cubic root of 1648852848 is about 1181.3918384481.

The spelling of 1648852848 in words is "one billion, six hundred forty-eight million, eight hundred fifty-two thousand, eight hundred forty-eight".