8461910016 has 192 divisors, whose sum is σ = 27944124000. Its totient is φ = 2417098752.

The previous prime is 8461909993. The next prime is 8461910063. The reversal of 8461910016 is 6100191648.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×8461910016² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2062335 + ... + 2066433.

Almost surely, 2^8461910016 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 8461910016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13972062000).

8461910016 is an abundant number, since it is smaller than the sum of its proper divisors (19482213984).

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

8461910016 is an equidigital number, since it uses as much as digits as its factorization.

8461910016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4142 (or 4111 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 8461910016 is about 91988.6406900330. The cubic root of 8461910016 is about 2037.7745512121.

The spelling of 8461910016 in words is "eight billion, four hundred sixty-one million, nine hundred ten thousand, sixteen".