1398318768 has 320 divisors, whose sum is σ = 5058723840. Its totient is φ = 359251200.

The previous prime is 1398318721. The next prime is 1398318791. The reversal of 1398318768 is 8678138931.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4224363 + ... + 4224693.

It is an arithmetic number, because the mean of its divisors is an integer number (15808512).

Almost surely, 2^1398318768 is an apocalyptic number.

1398318768 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 1398318768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529361920).

1398318768 is an abundant number, since it is smaller than the sum of its proper divisors (3660405072).

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

1398318768 is a wasteful number, since it uses less digits than its factorization.

1398318768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 481 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 1398318768 is about 37394.1007112084. The cubic root of 1398318768 is about 1118.2409589833.

The spelling of 1398318768 in words is "one billion, three hundred ninety-eight million, three hundred eighteen thousand, seven hundred sixty-eight".