18172483116480 has 1344 divisors, whose sum is σ = 81171238256640. Its totient is φ = 3746175713280.

The previous prime is 18172483116461. The next prime is 18172483116539. The reversal of 18172483116480 is 8461138427181.

It is a happy number.

18172483116480 is a `hidden beast` number, since 1 + 8 + 1 + 7 + 2 + 48 + 3 + 116 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 929386384 + ... + 929405936.

It is an arithmetic number, because the mean of its divisors is an integer number (60395266560).

Almost surely, 2^{18172483116480} is an apocalyptic number.

18172483116480 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 18172483116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40585619128320).

18172483116480 is an abundant number, since it is smaller than the sum of its proper divisors (62998755140160).

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

18172483116480 is a wasteful number, since it uses less digits than its factorization.

18172483116480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19735 (or 19708 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 18172483116480 in words is "eighteen trillion, one hundred seventy-two billion, four hundred eighty-three million, one hundred sixteen thousand, four hundred eighty".