8461456752 has 160 divisors (see below), whose sum is σ = 26674864128. Its totient is φ = 2258581248.

The previous prime is 8461456723. The next prime is 8461456781. The reversal of 8461456752 is 2576541648.

It is an interprime number because it is at equal distance from previous prime (8461456723) and next prime (8461456781).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319573 + ... + 345035.

Almost surely, 2^8461456752 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 8461456752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13337432064).

8461456752 is an abundant number, since it is smaller than the sum of its proper divisors (18213407376).

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

8461456752 is a wasteful number, since it uses less digits than its factorization.

8461456752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25547 (or 25541 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 48.

The square root of 8461456752 is about 91986.1769615413. The cubic root of 8461456752 is about 2037.7381659542.

The spelling of 8461456752 in words is "eight billion, four hundred sixty-one million, four hundred fifty-six thousand, seven hundred fifty-two".