484464513642264 has 192 divisors, whose sum is σ = 1437230037672000. Its totient is φ = 146742681845760.

The previous prime is 484464513642229. The next prime is 484464513642269. The reversal of 484464513642264 is 462246315464484.

484464513642264 is a `hidden beast` number, since 4 + 8 + 4 + 4 + 6 + 4 + 5 + 1 + 364 + 2 + 264 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484464513642269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1070368597 + ... + 1070821115.

It is an arithmetic number, because the mean of its divisors is an integer number (7485573112875).

Almost surely, 2^{484464513642264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484464513642264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718615018836000).

484464513642264 is an abundant number, since it is smaller than the sum of its proper divisors (952765524029736).

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

484464513642264 is a wasteful number, since it uses less digits than its factorization.

484464513642264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482738 (or 482731 counting only the distinct ones).

The product of its digits is 424673280, while the sum is 63.

The spelling of 484464513642264 in words is "four hundred eighty-four trillion, four hundred sixty-four billion, five hundred thirteen million, six hundred forty-two thousand, two hundred sixty-four".