8461281807 has 48 divisors (see below), whose sum is σ = 13831534080. Its totient is φ = 4939459200.

The previous prime is 8461281781. The next prime is 8461281811. The reversal of 8461281807 is 7081821648.

8461281807 is a `hidden beast` number, since 8 + 461 + 2 + 8 + 180 + 7 = 666.

8461281807 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8461281807 - 2¹⁶ = 8461216271 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8461286807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 307468 + ... + 333854.

It is an arithmetic number, because the mean of its divisors is an integer number (288156960).

Almost surely, 2^8461281807 is an apocalyptic number.

8461281807 is a deficient number, since it is larger than the sum of its proper divisors (5370252273).

8461281807 is a wasteful number, since it uses less digits than its factorization.

8461281807 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26524 (or 26521 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 8461281807 is about 91985.2260257048. The cubic root of 8461281807 is about 2037.7241220934.

The spelling of 8461281807 in words is "eight billion, four hundred sixty-one million, two hundred eighty-one thousand, eight hundred seven".