1395648648 has 96 divisors (see below), whose sum is σ = 4151908800. Its totient is φ = 421559424.

The previous prime is 1395648619. The next prime is 1395648673. The reversal of 1395648648 is 8468465931.

1395648648 is a `hidden beast` number, since 1 + 39 + 564 + 8 + 6 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1395648594 and 1395648603.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9286 + ... + 53642.

It is an arithmetic number, because the mean of its divisors is an integer number (43249050).

Almost surely, 2^1395648648 is an apocalyptic number.

1395648648 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 1395648648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075954400).

1395648648 is an abundant number, since it is smaller than the sum of its proper divisors (2756260152).

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

1395648648 is a wasteful number, since it uses less digits than its factorization.

1395648648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44411 (or 44404 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 1395648648 is about 37358.3812283134. The cubic root of 1395648648 is about 1117.5287370056.

The spelling of 1395648648 in words is "one billion, three hundred ninety-five million, six hundred forty-eight thousand, six hundred forty-eight".