18642382272 has 168 divisors, whose sum is σ = 55414560240. Its totient is φ = 5984993280.

The previous prime is 18642382267. The next prime is 18642382277. The reversal of 18642382272 is 27228324681.

18642382272 is a `hidden beast` number, since 1 + 86 + 423 + 82 + 2 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (18642382267) and next prime (18642382277).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18642382277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8200528 + ... + 8202800.

Almost surely, 2^18642382272 is an apocalyptic number.

18642382272 is a gapful number since it is divisible by the number (12) 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 18642382272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27707280120).

18642382272 is an abundant number, since it is smaller than the sum of its proper divisors (36772177968).

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

18642382272 is a wasteful number, since it uses less digits than its factorization.

18642382272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811 (or 2798 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 18642382272 in words is "eighteen billion, six hundred forty-two million, three hundred eighty-two thousand, two hundred seventy-two".