108647441392896 has 864 divisors, whose sum is σ = 395930385365760. Its totient is φ = 29201330995200.

The previous prime is 108647441392877. The next prime is 108647441392901. The reversal of 108647441392896 is 698293144746801.

108647441392896 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 4 + 7 + 441 + 3 + 92 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×108647441392896² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 16069726156 + ... + 16069732916.

It is an arithmetic number, because the mean of its divisors is an integer number (458252760840).

Almost surely, 2^{108647441392896} is an apocalyptic number.

108647441392896 is a gapful number since it is divisible by the number (16) 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 108647441392896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197965192682880).

108647441392896 is an abundant number, since it is smaller than the sum of its proper divisors (287282943972864).

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

108647441392896 is a wasteful number, since it uses less digits than its factorization.

108647441392896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9608 (or 9581 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 108647441392896 in words is "one hundred eight trillion, six hundred forty-seven billion, four hundred forty-one million, three hundred ninety-two thousand, eight hundred ninety-six".