4812185604096 has 1040 divisors, whose sum is σ = 16251048844800. Its totient is φ = 1408620036096.

The previous prime is 4812185603993. The next prime is 4812185604131. The reversal of 4812185604096 is 6904065812184.

4812185604096 is a `hidden beast` number, since 4 + 8 + 1 + 21 + 8 + 5 + 604 + 0 + 9 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9881284365 + ... + 9881284851.

Almost surely, 2^{4812185604096} 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 4812185604096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8125524422400).

4812185604096 is an abundant number, since it is smaller than the sum of its proper divisors (11438863240704).

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

4812185604096 is a wasteful number, since it uses less digits than its factorization.

4812185604096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 4812185604096 in words is "four trillion, eight hundred twelve billion, one hundred eighty-five million, six hundred four thousand, ninety-six".