18150893321688 has 192 divisors, whose sum is σ = 52105068288000. Its totient is φ = 5696545688064.

The previous prime is 18150893321647. The next prime is 18150893321689. The reversal of 18150893321688 is 88612339805181.

18150893321688 is a `hidden beast` number, since 1 + 8 + 1 + 508 + 9 + 3 + 32 + 16 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18150893321689) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 32590503 + ... + 33142761.

It is an arithmetic number, because the mean of its divisors is an integer number (271380564000).

Almost surely, 2^{18150893321688} is an apocalyptic number.

18150893321688 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 18150893321688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26052534144000).

18150893321688 is an abundant number, since it is smaller than the sum of its proper divisors (33954174966312).

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

18150893321688 is a wasteful number, since it uses less digits than its factorization.

18150893321688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552606 (or 552599 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 18150893321688 in words is "eighteen trillion, one hundred fifty billion, eight hundred ninety-three million, three hundred twenty-one thousand, six hundred eighty-eight".