18098377234560 has 1728 divisors, whose sum is σ = 80073372674880. Its totient is φ = 3748168359936.

The previous prime is 18098377234559. The next prime is 18098377234589. The reversal of 18098377234560 is 6543277389081.

18098377234560 is a `hidden beast` number, since 1 + 8 + 0 + 9 + 8 + 37 + 7 + 2 + 34 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2343434859 + ... + 2343442581.

It is an arithmetic number, because the mean of its divisors is an integer number (46338757335).

It is a 1-persistent number, because it is pandigital, but 2⋅18098377234560 = 36196754469120 is not.

Almost surely, 2^{18098377234560} is an apocalyptic number.

18098377234560 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 18098377234560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40036686337440).

18098377234560 is an abundant number, since it is smaller than the sum of its proper divisors (61974995440320).

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

18098377234560 is a wasteful number, since it uses less digits than its factorization.

18098377234560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7823 (or 7782 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 18098377234560 in words is "eighteen trillion, ninety-eight billion, three hundred seventy-seven million, two hundred thirty-four thousand, five hundred sixty".