13804688898000 has 4800 divisors, whose sum is σ = 69034551505920. Its totient is φ = 2586608640000.

The previous prime is 13804688897983. The next prime is 13804688898067. The reversal of 13804688898000 is 89888640831.

13804688898000 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 468 + 88 + 98 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 126648521946 + ... + 126648522054.

Almost surely, 2^{13804688898000} is an apocalyptic number.

13804688898000 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 13804688898000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34517275752960).

13804688898000 is an abundant number, since it is smaller than the sum of its proper divisors (55229862607920).

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

13804688898000 is a wasteful number, since it uses less digits than its factorization.

13804688898000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The spelling of 13804688898000 in words is "thirteen trillion, eight hundred four billion, six hundred eighty-eight million, eight hundred ninety-eight thousand".