460499518144512 has 3600 divisors, whose sum is σ = 1898783500078080. Its totient is φ = 109559336140800.

The previous prime is 460499518144487. The next prime is 460499518144513. The reversal of 460499518144512 is 215441815994064.

It is a happy number.

460499518144512 is a `hidden beast` number, since 4 + 6 + 0 + 4 + 9 + 9 + 5 + 181 + 445 + 1 + 2 = 666.

It is a super-2 number, since 2×460499518144512² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 460499518144512.

It is not an unprimeable number, because it can be changed into a prime (460499518144513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 421317033438 + ... + 421317034530.

Almost surely, 2^{460499518144512} is an apocalyptic number.

460499518144512 is a gapful number since it is divisible by the number (42) 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 460499518144512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949391750039040).

460499518144512 is an abundant number, since it is smaller than the sum of its proper divisors (1438283981933568).

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

460499518144512 is a wasteful number, since it uses less digits than its factorization.

460499518144512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 460499518144512 in words is "four hundred sixty trillion, four hundred ninety-nine billion, five hundred eighteen million, one hundred forty-four thousand, five hundred twelve".