18294540480000 has 1200 divisors, whose sum is σ = 71754227859600. Its totient is φ = 4467032064000.

The previous prime is 18294540479947. The next prime is 18294540480011. The reversal of 18294540480000 is 8404549281.

18294540480000 is a `hidden beast` number, since 1 + 8 + 29 + 4 + 540 + 4 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×18294540480000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 1811514951 + ... + 1811525049.

It is an arithmetic number, because the mean of its divisors is an integer number (59795189883).

Almost surely, 2^{18294540480000} is an apocalyptic number.

18294540480000 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 18294540480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35877113929800).

18294540480000 is an abundant number, since it is smaller than the sum of its proper divisors (53459687379600).

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

18294540480000 is a wasteful number, since it uses less digits than its factorization.

18294540480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10197 (or 10163 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 18294540480000 in words is "eighteen trillion, two hundred ninety-four billion, five hundred forty million, four hundred eighty thousand".