18977636972448 has 1536 divisors, whose sum is σ = 75278149632000. Its totient is φ = 4504403312640.

The previous prime is 18977636972443. The next prime is 18977636972533. The reversal of 18977636972448 is 84427963677981.

18977636972448 is a `hidden beast` number, since 1 + 8 + 9 + 7 + 7 + 6 + 369 + 7 + 244 + 8 = 666.

It is a super-2 number, since 2×18977636972448² (a number of 27 digits) contains 22 as substring.

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 (18977636972443) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4304292868 + ... + 4304297276.

It is an arithmetic number, because the mean of its divisors is an integer number (49009212000).

Almost surely, 2^{18977636972448} is an apocalyptic number.

18977636972448 is a gapful number since it is divisible by the number (18) 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 18977636972448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37639074816000).

18977636972448 is an abundant number, since it is smaller than the sum of its proper divisors (56300512659552).

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

18977636972448 is a wasteful number, since it uses less digits than its factorization.

18977636972448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4595 (or 4581 counting only the distinct ones).

The product of its digits is 6145155072, while the sum is 81.

The spelling of 18977636972448 in words is "eighteen trillion, nine hundred seventy-seven billion, six hundred thirty-six million, nine hundred seventy-two thousand, four hundred forty-eight".