483165333061632 has 2560 divisors, whose sum is σ = 1749545679974400. Its totient is φ = 131352464719872.

The previous prime is 483165333061583. The next prime is 483165333061681. The reversal of 483165333061632 is 236160333561384.

483165333061632 is a `hidden beast` number, since 4 + 8 + 3 + 16 + 5 + 3 + 3 + 3 + 0 + 616 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (483165333061583) and next prime (483165333061681).

It is a super-2 number, since 2×483165333061632² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 795989016273 + ... + 795989016879.

It is an arithmetic number, because the mean of its divisors is an integer number (683416281240).

Almost surely, 2^{483165333061632} 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 483165333061632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874772839987200).

483165333061632 is an abundant number, since it is smaller than the sum of its proper divisors (1266380346912768).

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

483165333061632 is a wasteful number, since it uses less digits than its factorization.

483165333061632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 54.

The spelling of 483165333061632 in words is "four hundred eighty-three trillion, one hundred sixty-five billion, three hundred thirty-three million, sixty-one thousand, six hundred thirty-two".