480129446664 has 144 divisors (see below), whose sum is σ = 1564813493100. Its totient is φ = 132449474304.

The previous prime is 480129446617. The next prime is 480129446729. The reversal of 480129446664 is 466644921084.

It can be written as a sum of positive squares in 2 ways, for example, as 445900746564 + 34228700100 = 667758^2 + 185010^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 480129446664.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2244087 + ... + 2448710.

Almost surely, 2^480129446664 is an apocalyptic number.

It is an amenable number.

480129446664 is an abundant number, since it is smaller than the sum of its proper divisors (1084684046436).

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

480129446664 is a wasteful number, since it uses less digits than its factorization.

480129446664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4692852 (or 4692838 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 480129446664 in words is "four hundred eighty billion, one hundred twenty-nine million, four hundred forty-six thousand, six hundred sixty-four".