1395916848 has 80 divisors (see below), whose sum is σ = 4014524800. Its totient is φ = 464408640.

The previous prime is 1395916843. The next prime is 1395916867. The reversal of 1395916848 is 8486195931.

1395916848 is a `hidden beast` number, since 1 + 3 + 9 + 591 + 6 + 8 + 48 = 666.

It is a super-3 number, since 3×1395916848³ (a number of 28 digits) contains 333 as substring.

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 = 1395916794 and 1395916803.

It is not an unprimeable number, because it can be changed into a prime (1395916843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243843 + ... + 249501.

It is an arithmetic number, because the mean of its divisors is an integer number (50181560).

Almost surely, 2^1395916848 is an apocalyptic number.

1395916848 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 1395916848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007262400).

1395916848 is an abundant number, since it is smaller than the sum of its proper divisors (2618607952).

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

1395916848 is a wasteful number, since it uses less digits than its factorization.

1395916848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6247 (or 6235 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The square root of 1395916848 is about 37361.9706118401. The cubic root of 1395916848 is about 1117.6003171058.

The spelling of 1395916848 in words is "one billion, three hundred ninety-five million, nine hundred sixteen thousand, eight hundred forty-eight".