18695448000 has 672 divisors, whose sum is σ = 70961829120. Its totient is φ = 4870886400.

The previous prime is 18695447989. The next prime is 18695448001. The reversal of 18695448000 is 84459681.

18695448000 is a `hidden beast` number, since 1 + 86 + 95 + 4 + 480 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18695448001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114695919 + ... + 114696081.

It is an arithmetic number, because the mean of its divisors is an integer number (105597960).

Almost surely, 2^18695448000 is an apocalyptic number.

18695448000 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 18695448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35480914560).

18695448000 is an abundant number, since it is smaller than the sum of its proper divisors (52266381120).

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

18695448000 is an equidigital number, since it uses as much as digits as its factorization.

18695448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 18695448000 in words is "eighteen billion, six hundred ninety-five million, four hundred forty-eight thousand".