18741984776480 has 768 divisors, whose sum is σ = 54868292075520. Its totient is φ = 5912524800000.

The previous prime is 18741984776479. The next prime is 18741984776539. The reversal of 18741984776480 is 8467748914781.

It is a super-2 number, since 2×18741984776480² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18741984776398 and 18741984776407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19917092810 + ... + 19917093750.

It is an arithmetic number, because the mean of its divisors is an integer number (71443088640).

Almost surely, 2^{18741984776480} is an apocalyptic number.

18741984776480 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 18741984776480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27434146037760).

18741984776480 is an abundant number, since it is smaller than the sum of its proper divisors (36126307299040).

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

18741984776480 is a wasteful number, since it uses less digits than its factorization.

18741984776480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 606928896, while the sum is 74.

The spelling of 18741984776480 in words is "eighteen trillion, seven hundred forty-one billion, nine hundred eighty-four million, seven hundred seventy-six thousand, four hundred eighty".