8461551648 has 96 divisors (see below), whose sum is σ = 24251415552. Its totient is φ = 2561926400.

The previous prime is 8461551643. The next prime is 8461551677.

8461551648 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 8461551597 and 8461551606.

It is not an unprimeable number, because it can be changed into a prime (8461551641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1592965 + ... + 1598267.

It is an arithmetic number, because the mean of its divisors is an integer number (252618912).

Almost surely, 2^8461551648 is an apocalyptic number.

8461551648 is a gapful number since it is divisible by the number (88) 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 8461551648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12125707776).

8461551648 is an abundant number, since it is smaller than the sum of its proper divisors (15789863904).

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

8461551648 is a wasteful number, since it uses less digits than its factorization.

8461551648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6838 (or 6830 counting only the distinct ones).

The product of its digits is 921600, while the sum is 48.

The square root of 8461551648 is about 91986.6927767272. The cubic root of 8461551648 is about 2037.7457837314.

The spelling of 8461551648 in words is "eight billion, four hundred sixty-one million, five hundred fifty-one thousand, six hundred forty-eight".