8461651329600 has 336 divisors, whose sum is σ = 31847831989248. Its totient is φ = 1926735759360.

The previous prime is 8461651329581. The next prime is 8461651329619. The reversal of 8461651329600 is 69231561648.

It is an interprime number because it is at equal distance from previous prime (8461651329581) and next prime (8461651329619).

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 8358027 + ... + 9315573.

Almost surely, 2^{8461651329600} is an apocalyptic number.

8461651329600 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 8461651329600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15923915994624).

8461651329600 is an abundant number, since it is smaller than the sum of its proper divisors (23386180659648).

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

8461651329600 is a wasteful number, since it uses less digits than its factorization.

8461651329600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957842 (or 957827 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 8461651329600 in words is "eight trillion, four hundred sixty-one billion, six hundred fifty-one million, three hundred twenty-nine thousand, six hundred".