8761481462016 has 576 divisors, whose sum is σ = 27566803353600. Its totient is φ = 2737102233600.

The previous prime is 8761481461969. The next prime is 8761481462017. The reversal of 8761481462016 is 6102641841678.

8761481462016 is a `hidden beast` number, since 8 + 7 + 6 + 1 + 4 + 8 + 1 + 4 + 620 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (8761481462017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9023152411 + ... + 9023153381.

It is an arithmetic number, because the mean of its divisors is an integer number (47859033600).

Almost surely, 2^{8761481462016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8761481462016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13783401676800).

8761481462016 is an abundant number, since it is smaller than the sum of its proper divisors (18805321891584).

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

8761481462016 is a wasteful number, since it uses less digits than its factorization.

8761481462016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 8761481462016 in words is "eight trillion, seven hundred sixty-one billion, four hundred eighty-one million, four hundred sixty-two thousand, sixteen".