483959155857408 has 768 divisors, whose sum is σ = 1789001627212800. Its totient is φ = 125587461242880.

The previous prime is 483959155857391. The next prime is 483959155857491. The reversal of 483959155857408 is 804758551959384.

483959155857408 is a `hidden beast` number, since 4 + 8 + 3 + 9 + 5 + 9 + 1 + 558 + 57 + 4 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4653714660 + ... + 4653818652.

It is an arithmetic number, because the mean of its divisors is an integer number (2329429202100).

Almost surely, 2^{483959155857408} is an apocalyptic number.

483959155857408 is a gapful number since it is divisible by the number (48) 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 483959155857408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894500813606400).

483959155857408 is an abundant number, since it is smaller than the sum of its proper divisors (1305042471355392).

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

483959155857408 is a wasteful number, since it uses less digits than its factorization.

483959155857408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105135 (or 105109 counting only the distinct ones).

The product of its (nonzero) digits is 8709120000, while the sum is 81.

The spelling of 483959155857408 in words is "four hundred eighty-three trillion, nine hundred fifty-nine billion, one hundred fifty-five million, eight hundred fifty-seven thousand, four hundred eight".