18045430179840 has 480 divisors, whose sum is σ = 73920496890240. Its totient is φ = 4124668428288.

The previous prime is 18045430179797. The next prime is 18045430179841. The reversal of 18045430179840 is 4897103454081.

18045430179840 is a `hidden beast` number, since 1 + 8 + 0 + 4 + 543 + 0 + 1 + 7 + 98 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (18045430179841) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4252069 + ... + 7360091.

It is an arithmetic number, because the mean of its divisors is an integer number (154001035188).

Almost surely, 2^{18045430179840} is an apocalyptic number.

18045430179840 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 18045430179840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36960248445120).

18045430179840 is an abundant number, since it is smaller than the sum of its proper divisors (55875066710400).

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

18045430179840 is an equidigital number, since it uses as much as digits as its factorization.

18045430179840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3108069 (or 3108040 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 18045430179840 in words is "eighteen trillion, forty-five billion, four hundred thirty million, one hundred seventy-nine thousand, eight hundred forty".