1393848768 has 224 divisors, whose sum is σ = 4258324224. Its totient is φ = 398573568.

The previous prime is 1393848767. The next prime is 1393848769. The reversal of 1393848768 is 8678483931.

It is an interprime number because it is at equal distance from previous prime (1393848767) and next prime (1393848769).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1393848761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4540071 + ... + 4540377.

It is an arithmetic number, because the mean of its divisors is an integer number (19010376).

Almost surely, 2^1393848768 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 1393848768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129162112).

1393848768 is an abundant number, since it is smaller than the sum of its proper divisors (2864475456).

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

1393848768 is a wasteful number, since it uses less digits than its factorization.

1393848768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 449 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 57.

The square root of 1393848768 is about 37334.2840831320. The cubic root of 1393848768 is about 1117.0481282429.

The spelling of 1393848768 in words is "one billion, three hundred ninety-three million, eight hundred forty-eight thousand, seven hundred sixty-eight".