10464150430305 has 384 divisors, whose sum is σ = 21794836976640. Its totient is φ = 4578094080000.

The previous prime is 10464150430273. The next prime is 10464150430309. The reversal of 10464150430305 is 50303405146401.

10464150430305 is a `hidden beast` number, since 1 + 0 + 4 + 641 + 5 + 0 + 4 + 3 + 0 + 3 + 0 + 5 = 666.

It is not a de Polignac number, because 10464150430305 - 2⁵ = 10464150430273 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10464150430305.

It is not an unprimeable number, because it can be changed into a prime (10464150430309) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 24855463995 + ... + 24855464415.

It is an arithmetic number, because the mean of its divisors is an integer number (56757387960).

Almost surely, 2^{10464150430305} is an apocalyptic number.

10464150430305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10464150430305 is an abundant number, since it is smaller than the sum of its proper divisors (11330686546335).

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

10464150430305 is a wasteful number, since it uses less digits than its factorization.

10464150430305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 10464150430305 its reverse (50303405146401), we get a palindrome (60767555576706).

The spelling of 10464150430305 in words is "ten trillion, four hundred sixty-four billion, one hundred fifty million, four hundred thirty thousand, three hundred five".