17994459080448 has 576 divisors, whose sum is σ = 56267212377600. Its totient is φ = 5736735166464.

The previous prime is 17994459080443. The next prime is 17994459080519. The reversal of 17994459080448 is 84408095449971.

17994459080448 is a `hidden beast` number, since 1 + 7 + 9 + 94 + 4 + 5 + 90 + 8 + 0 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17994459080443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1222193215 + ... + 1222207937.

It is an arithmetic number, because the mean of its divisors is an integer number (97686132600).

Almost surely, 2^{17994459080448} is an apocalyptic number.

17994459080448 is a gapful number since it is divisible by the number (18) 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 17994459080448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28133606188800).

17994459080448 is an abundant number, since it is smaller than the sum of its proper divisors (38272753297152).

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

17994459080448 is an frugal number, since it uses more digits than its factorization.

17994459080448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14856 (or 14824 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 17994459080448 in words is "seventeen trillion, nine hundred ninety-four billion, four hundred fifty-nine million, eighty thousand, four hundred forty-eight".