8741481176064 has 704 divisors, whose sum is σ = 30020040916992. Its totient is φ = 2199497932800.

The previous prime is 8741481176063. The next prime is 8741481176117. The reversal of 8741481176064 is 4606711841478.

It is a junction number, because it is equal to n+sod(n) for n = 8741481175995 and 8741481176013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8741481176063) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 615286849 + ... + 615301055.

Almost surely, 2^{8741481176064} is an apocalyptic number.

8741481176064 is a gapful number since it is divisible by the number (84) 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 8741481176064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15010020458496).

8741481176064 is an abundant number, since it is smaller than the sum of its proper divisors (21278559740928).

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

8741481176064 is a wasteful number, since it uses less digits than its factorization.

8741481176064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14352 (or 14334 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 57.

The spelling of 8741481176064 in words is "eight trillion, seven hundred forty-one billion, four hundred eighty-one million, one hundred seventy-six thousand, sixty-four".