4765784234112 has 768 divisors, whose sum is σ = 15466464000000. Its totient is φ = 1396425891840.

The previous prime is 4765784234089. The next prime is 4765784234131. The reversal of 4765784234112 is 2114324875674.

4765784234112 is a `hidden beast` number, since 4 + 7 + 6 + 578 + 4 + 23 + 41 + 1 + 2 = 666.

It is a super-2 number, since 2×4765784234112² (a number of 26 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 19940519689 + ... + 19940519927.

It is an arithmetic number, because the mean of its divisors is an integer number (20138625000).

Almost surely, 2^{4765784234112} 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 4765784234112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7733232000000).

4765784234112 is an abundant number, since it is smaller than the sum of its proper divisors (10700679765888).

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

4765784234112 is a wasteful number, since it uses less digits than its factorization.

4765784234112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 642 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 4765784234112 in words is "four trillion, seven hundred sixty-five billion, seven hundred eighty-four million, two hundred thirty-four thousand, one hundred twelve".