4812083467632 has 960 divisors, whose sum is σ = 17372319211520. Its totient is φ = 1258724385792.

The previous prime is 4812083467591. The next prime is 4812083467637. The reversal of 4812083467632 is 2367643802184.

4812083467632 is a `hidden beast` number, since 4 + 81 + 20 + 83 + 467 + 6 + 3 + 2 = 666.

It is a super-2 number, since 2×4812083467632² (a number of 26 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 not an unprimeable number, because it can be changed into a prime (4812083467637) 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, 3118653453 + ... + 3118654995.

Almost surely, 2^{4812083467632} is an apocalyptic number.

4812083467632 is a gapful number since it is divisible by the number (42) 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 4812083467632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8686159605760).

4812083467632 is an abundant number, since it is smaller than the sum of its proper divisors (12560235743888).

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

4812083467632 is a wasteful number, since it uses less digits than its factorization.

4812083467632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 4812083467632 in words is "four trillion, eight hundred twelve billion, eighty-three million, four hundred sixty-seven thousand, six hundred thirty-two".