18111617448480 has 384 divisors, whose sum is σ = 63898976736000. Its totient is φ = 4791120371712.

The previous prime is 18111617448473. The next prime is 18111617448493. The reversal of 18111617448480 is 8484471611181.

18111617448480 is a `hidden beast` number, since 1 + 8 + 1 + 1 + 16 + 1 + 74 + 484 + 80 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 506558284 + ... + 506594036.

It is an arithmetic number, because the mean of its divisors is an integer number (166403585250).

Almost surely, 2^{18111617448480} is an apocalyptic number.

18111617448480 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 18111617448480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31949488368000).

18111617448480 is an abundant number, since it is smaller than the sum of its proper divisors (45787359287520).

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

18111617448480 is a wasteful number, since it uses less digits than its factorization.

18111617448480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36713 (or 36699 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 54.

The spelling of 18111617448480 in words is "eighteen trillion, one hundred eleven billion, six hundred seventeen million, four hundred forty-eight thousand, four hundred eighty".