483811917041664 has 520 divisors, whose sum is σ = 1524828237944000. Its totient is φ = 152433814339584.

The previous prime is 483811917041599. The next prime is 483811917041711. The reversal of 483811917041664 is 466140719118384.

It is a happy number.

483811917041664 is a `hidden beast` number, since 4 + 8 + 3 + 8 + 1 + 1 + 91 + 70 + 416 + 64 = 666.

It is a super-3 number, since 3×483811917041664³ (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 2767256202 + ... + 2767431030.

Almost surely, 2^{483811917041664} 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 483811917041664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762414118972000).

483811917041664 is an abundant number, since it is smaller than the sum of its proper divisors (1041016320902336).

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

483811917041664 is a wasteful number, since it uses less digits than its factorization.

483811917041664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175323 (or 175292 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 483811917041664 in words is "four hundred eighty-three trillion, eight hundred eleven billion, nine hundred seventeen million, forty-one thousand, six hundred sixty-four".