1398678816 has 96 divisors (see below), whose sum is σ = 3844532160. Its totient is φ = 444652544.

The previous prime is 1398678811. The next prime is 1398678817. The reversal of 1398678816 is 6188768931.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1398678811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228046 + ... + 234098.

It is an arithmetic number, because the mean of its divisors is an integer number (40047210).

Almost surely, 2^1398678816 is an apocalyptic number.

1398678816 is a gapful number since it is divisible by the number (16) 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 1398678816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1922266080).

1398678816 is an abundant number, since it is smaller than the sum of its proper divisors (2445853344).

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

1398678816 is a wasteful number, since it uses less digits than its factorization.

1398678816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6178 (or 6170 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 57.

The square root of 1398678816 is about 37398.9146366576. The cubic root of 1398678816 is about 1118.3369280090.

The spelling of 1398678816 in words is "one billion, three hundred ninety-eight million, six hundred seventy-eight thousand, eight hundred sixteen".