4766371163136 has 792 divisors, whose sum is σ = 15982745425920. Its totient is φ = 1364301987840.

The previous prime is 4766371163131. The next prime is 4766371163137. The reversal of 4766371163136 is 6313611736674.

4766371163136 is a `hidden beast` number, since 47 + 66 + 371 + 163 + 13 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is not an unprimeable number, because it can be changed into a prime (4766371163131) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2128793505 + ... + 2128795743.

Almost surely, 2^{4766371163136} is an apocalyptic number.

4766371163136 is a gapful number since it is divisible by the number (46) 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 4766371163136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7991372712960).

4766371163136 is an abundant number, since it is smaller than the sum of its proper divisors (11216374262784).

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

4766371163136 is a wasteful number, since it uses less digits than its factorization.

4766371163136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2393 (or 2361 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 54.

The spelling of 4766371163136 in words is "four trillion, seven hundred sixty-six billion, three hundred seventy-one million, one hundred sixty-three thousand, one hundred thirty-six".