18401676982272 has 960 divisors, whose sum is σ = 57765996288000. Its totient is φ = 5831555088384.

The previous prime is 18401676982267. The next prime is 18401676982277. The reversal of 18401676982272 is 27228967610481.

It is a happy number.

18401676982272 is a `hidden beast` number, since 1 + 8 + 401 + 6 + 76 + 98 + 2 + 2 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (18401676982267) and next prime (18401676982277).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18401676982277) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 50140809033 + ... + 50140809399.

It is an arithmetic number, because the mean of its divisors is an integer number (60172912800).

Almost surely, 2^{18401676982272} is an apocalyptic number.

18401676982272 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 18401676982272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28882998144000).

18401676982272 is an abundant number, since it is smaller than the sum of its proper divisors (39364319305728).

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

18401676982272 is a wasteful number, since it uses less digits than its factorization.

18401676982272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 18401676982272 in words is "eighteen trillion, four hundred one billion, six hundred seventy-six million, nine hundred eighty-two thousand, two hundred seventy-two".