18813488360400 has 720 divisors, whose sum is σ = 71336643495936. Its totient is φ = 4752154344960.

The previous prime is 18813488360389. The next prime is 18813488360417. The reversal of 18813488360400 is 406388431881.

18813488360400 is a `hidden beast` number, since 1 + 88 + 13 + 488 + 36 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 230225949 + ... + 230307651.

Almost surely, 2^{18813488360400} is an apocalyptic number.

18813488360400 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 18813488360400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35668321747968).

18813488360400 is an abundant number, since it is smaller than the sum of its proper divisors (52523155135536).

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

18813488360400 is a wasteful number, since it uses less digits than its factorization.

18813488360400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81862 (or 81839 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 18813488360400 in words is "eighteen trillion, eight hundred thirteen billion, four hundred eighty-eight million, three hundred sixty thousand, four hundred".