4812132036096 has 640 divisors, whose sum is σ = 17787747225600. Its totient is φ = 1247885844480.

The previous prime is 4812132036073. The next prime is 4812132036133. The reversal of 4812132036096 is 6906302312184.

4812132036096 is a `hidden beast` number, since 4 + 8 + 1 + 2 + 1 + 32 + 0 + 3 + 609 + 6 = 666.

It is a super-2 number, since 2×4812132036096² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 727014675 + ... + 727021293.

It is an arithmetic number, because the mean of its divisors is an integer number (27793355040).

Almost surely, 2^{4812132036096} 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 4812132036096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8893873612800).

4812132036096 is an abundant number, since it is smaller than the sum of its proper divisors (12975615189504).

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

4812132036096 is a wasteful number, since it uses less digits than its factorization.

4812132036096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7347 (or 7325 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 4812132036096 in words is "four trillion, eight hundred twelve billion, one hundred thirty-two million, thirty-six thousand, ninety-six".