18245829496320 has 480 divisors, whose sum is σ = 64088498073600. Its totient is φ = 4796657221632.

The previous prime is 18245829496309. The next prime is 18245829496339. The reversal of 18245829496320 is 2369492854281.

18245829496320 is a `hidden beast` number, since 1 + 8 + 2 + 4 + 582 + 9 + 49 + 6 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 915991321 + ... + 916011239.

It is an arithmetic number, because the mean of its divisors is an integer number (133517704320).

Almost surely, 2^{18245829496320} is an apocalyptic number.

18245829496320 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 18245829496320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32044249036800).

18245829496320 is an abundant number, since it is smaller than the sum of its proper divisors (45842668577280).

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

18245829496320 is a wasteful number, since it uses less digits than its factorization.

18245829496320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20510 (or 20491 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 18245829496320 in words is "eighteen trillion, two hundred forty-five billion, eight hundred twenty-nine million, four hundred ninety-six thousand, three hundred twenty".