4611763006128 has 80 divisors (see below), whose sum is σ = 13251158300160. Its totient is φ = 1535664481344.

The previous prime is 4611763006087. The next prime is 4611763006129. The reversal of 4611763006128 is 8216003671164.

4611763006128 is a `hidden beast` number, since 4 + 6 + 1 + 1 + 7 + 630 + 0 + 6 + 1 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (4611763006129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5102100 + ... + 5937587.

It is an arithmetic number, because the mean of its divisors is an integer number (165639478752).

Almost surely, 2^{4611763006128} is an apocalyptic number.

4611763006128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4611763006128 is an abundant number, since it is smaller than the sum of its proper divisors (8639395294032).

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

4611763006128 is a wasteful number, since it uses less digits than its factorization.

4611763006128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11040671 (or 11040659 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 4611763006128 in words is "four trillion, six hundred eleven billion, seven hundred sixty-three million, six thousand, one hundred twenty-eight".