483657488271360 has 2304 divisors, whose sum is σ = 1926404127648000. Its totient is φ = 111244864389120.

The previous prime is 483657488271359. The next prime is 483657488271361. The reversal of 483657488271360 is 63172884756384.

483657488271360 is a `hidden beast` number, since 4 + 8 + 3 + 6 + 5 + 7 + 488 + 2 + 7 + 136 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (483657488271359) and next prime (483657488271361).

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (483657488271361) 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 191 ways as a sum of consecutive naturals, for example, 985045800715 + ... + 985045801205.

It is an arithmetic number, because the mean of its divisors is an integer number (836112902625).

Almost surely, 2^{483657488271360} is an apocalyptic number.

483657488271360 is a gapful number since it is divisible by the number (40) 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 483657488271360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963202063824000).

483657488271360 is an abundant number, since it is smaller than the sum of its proper divisors (1442746639376640).

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

483657488271360 is a wasteful number, since it uses less digits than its factorization.

483657488271360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 1300561920, while the sum is 72.

The spelling of 483657488271360 in words is "four hundred eighty-three trillion, six hundred fifty-seven billion, four hundred eighty-eight million, two hundred seventy-one thousand, three hundred sixty".