17898003648 has 672 divisors, whose sum is σ = 67899686400. Its totient is φ = 4550639616.

The previous prime is 17898003647. The next prime is 17898003659. The reversal of 17898003648 is 84630089871.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 17898003594 and 17898003603.

It is not an unprimeable number, because it can be changed into a prime (17898003647) 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, 35162818 + ... + 35163326.

It is an arithmetic number, because the mean of its divisors is an integer number (101041200).

Almost surely, 2^17898003648 is an apocalyptic number.

17898003648 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 17898003648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33949843200).

17898003648 is an abundant number, since it is smaller than the sum of its proper divisors (50001682752).

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

17898003648 is a wasteful number, since it uses less digits than its factorization.

17898003648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 17898003648 in words is "seventeen billion, eight hundred ninety-eight million, three thousand, six hundred forty-eight".