8181732049920 has 2816 divisors, whose sum is σ = 35919249408000. Its totient is φ = 1749388492800.

The previous prime is 8181732049877. The next prime is 8181732049973. The reversal of 8181732049920 is 299402371818.

8181732049920 is a `hidden beast` number, since 8 + 1 + 81 + 73 + 2 + 0 + 499 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 103566228441 + ... + 103566228519.

Almost surely, 2^{8181732049920} is an apocalyptic number.

8181732049920 is a gapful number since it is divisible by the number (80) 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 8181732049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17959624704000).

8181732049920 is an abundant number, since it is smaller than the sum of its proper divisors (27737517358080).

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

8181732049920 is a wasteful number, since it uses less digits than its factorization.

8181732049920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 8181732049920 in words is "eight trillion, one hundred eighty-one billion, seven hundred thirty-two million, forty-nine thousand, nine hundred twenty".