10305166464 has 64 divisors (see below), whose sum is σ = 30414564000. Its totient is φ = 3435054336.

The previous prime is 10305166463. The next prime is 10305166499. The reversal of 10305166464 is 46466150301.

It is a happy number.

10305166464 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 5 + 1 + 6 + 646 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is not an unprimeable number, because it can be changed into a prime (10305166463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1487454 + ... + 1494365.

Almost surely, 2^10305166464 is an apocalyptic number.

It is an amenable number.

10305166464 is an abundant number, since it is smaller than the sum of its proper divisors (20109397536).

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

10305166464 is an equidigital number, since it uses as much as digits as its factorization.

10305166464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2981842 (or 2981824 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10305166464 in words is "ten billion, three hundred five million, one hundred sixty-six thousand, four hundred sixty-four".