18154969848576 has 576 divisors, whose sum is σ = 59226136865280. Its totient is φ = 5440002048000.

The previous prime is 18154969848571. The next prime is 18154969848577. The reversal of 18154969848576 is 67584896945181.

18154969848576 is a `hidden beast` number, since 1 + 8 + 1 + 5 + 4 + 9 + 69 + 8 + 485 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 18154969848495 and 18154969848504.

It is not an unprimeable number, because it can be changed into a prime (18154969848571) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2918333146 + ... + 2918339366.

It is an arithmetic number, because the mean of its divisors is an integer number (102823154280).

Almost surely, 2^{18154969848576} is an apocalyptic number.

18154969848576 is a gapful number since it is divisible by the number (16) 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 18154969848576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29613068432640).

18154969848576 is an abundant number, since it is smaller than the sum of its proper divisors (41071167016704).

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

18154969848576 is a wasteful number, since it uses less digits than its factorization.

18154969848576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6681 (or 6661 counting only the distinct ones).

The product of its digits is 4180377600, while the sum is 81.

The spelling of 18154969848576 in words is "eighteen trillion, one hundred fifty-four billion, nine hundred sixty-nine million, eight hundred forty-eight thousand, five hundred seventy-six".