18048614400 has 600 divisors, whose sum is σ = 70797686850. Its totient is φ = 4529848320.

The previous prime is 18048614399. The next prime is 18048614413. The reversal of 18048614400 is 441684081.

It can be written as a sum of positive squares in 3 ways, for example, as 15479341056 + 2569273344 = 124416^2 + 50688^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1061683192 + ... + 1061683208.

Almost surely, 2^18048614400 is an apocalyptic number.

18048614400 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 18048614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35398843425).

18048614400 is an abundant number, since it is smaller than the sum of its proper divisors (52749072450).

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

18048614400 is an frugal number, since it uses more digits than its factorization.

18048614400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 18048614400 in words is "eighteen billion, forty-eight million, six hundred fourteen thousand, four hundred".