1398198144 has 192 divisors, whose sum is σ = 4548873600. Its totient is φ = 378362880.

The previous prime is 1398198091. The next prime is 1398198157. The reversal of 1398198144 is 4418918931.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1398198093 and 1398198102.

It is a congruent number.

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, 355549 + ... + 359459.

It is an arithmetic number, because the mean of its divisors is an integer number (23692050).

Almost surely, 2^1398198144 is an apocalyptic number.

1398198144 is a gapful number since it is divisible by the number (14) 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 1398198144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274436800).

1398198144 is an abundant number, since it is smaller than the sum of its proper divisors (3150675456).

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

1398198144 is a wasteful number, since it uses less digits than its factorization.

1398198144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961 (or 3942 counting only the distinct ones).

The product of its digits is 248832, while the sum is 48.

The square root of 1398198144 is about 37392.4878016962. The cubic root of 1398198144 is about 1118.2088035646.

The spelling of 1398198144 in words is "one billion, three hundred ninety-eight million, one hundred ninety-eight thousand, one hundred forty-four".