18966118320 has 480 divisors, whose sum is σ = 69826423680. Its totient is φ = 4598415360.

The previous prime is 18966118319. The next prime is 18966118333. The reversal of 18966118320 is 2381166981.

18966118320 is a `hidden beast` number, since 1 + 8 + 9 + 6 + 611 + 8 + 3 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35057250 + ... + 35057790.

It is an arithmetic number, because the mean of its divisors is an integer number (145471716).

Almost surely, 2^18966118320 is an apocalyptic number.

18966118320 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 18966118320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34913211840).

18966118320 is an abundant number, since it is smaller than the sum of its proper divisors (50860305360).

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

18966118320 is a wasteful number, since it uses less digits than its factorization.

18966118320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

It can be divided in two parts, 1896 and 6118320, that added together give a palindrome (6120216).

The spelling of 18966118320 in words is "eighteen billion, nine hundred sixty-six million, one hundred eighteen thousand, three hundred twenty".