18467993376 has 216 divisors, whose sum is σ = 61200479340. Its totient is φ = 5267275776.

The previous prime is 18467993339. The next prime is 18467993377. The reversal of 18467993376 is 67339976481.

18467993376 is a `hidden beast` number, since 18 + 467 + 9 + 93 + 3 + 76 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17193503376 + 1274490000 = 131124^2 + 35700^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (18467993377) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14238360 + ... + 14239656.

Almost surely, 2^18467993376 is an apocalyptic number.

18467993376 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 18467993376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30600239670).

18467993376 is an abundant number, since it is smaller than the sum of its proper divisors (42732485964).

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

18467993376 is a wasteful number, since it uses less digits than its factorization.

18467993376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336 (or 2318 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

The spelling of 18467993376 in words is "eighteen billion, four hundred sixty-seven million, nine hundred ninety-three thousand, three hundred seventy-six".