1398091998600 has 1152 divisors, whose sum is σ = 5791129344000. Its totient is φ = 297851904000.

The previous prime is 1398091998599. The next prime is 1398091998607. The reversal of 1398091998600 is 68991908931.

1398091998600 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 0 + 9 + 19 + 9 + 8 + 600 = 666.

It is a super-2 number, since 2×1398091998600² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1398091998607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 454071861 + ... + 454074939.

It is an arithmetic number, because the mean of its divisors is an integer number (5027022000).

Almost surely, 2^{1398091998600} is an apocalyptic number.

1398091998600 is a gapful number since it is divisible by the number (10) 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 1398091998600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2895564672000).

1398091998600 is an abundant number, since it is smaller than the sum of its proper divisors (4393037345400).

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

1398091998600 is a wasteful number, since it uses less digits than its factorization.

1398091998600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3219 (or 3207 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 63.

The spelling of 1398091998600 in words is "one trillion, three hundred ninety-eight billion, ninety-one million, nine hundred ninety-eight thousand, six hundred".