13998846873600 has 3744 divisors, whose sum is σ = 60691425500160. Its totient is φ = 3057647616000.

The previous prime is 13998846873469. The next prime is 13998846873643. The reversal of 13998846873600 is 637864889931.

13998846873600 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 8 + 8 + 4 + 6 + 8 + 7 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 341435289580 + ... + 341435289620.

It is an arithmetic number, because the mean of its divisors is an integer number (16210316640).

Almost surely, 2^{13998846873600} is an apocalyptic number.

13998846873600 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 13998846873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30345712750080).

13998846873600 is an abundant number, since it is smaller than the sum of its proper divisors (46692578626560).

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

13998846873600 is a wasteful number, since it uses less digits than its factorization.

13998846873600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 13998846873600 in words is "thirteen trillion, nine hundred ninety-eight billion, eight hundred forty-six million, eight hundred seventy-three thousand, six hundred".