4661115106176 has 96 divisors (see below), whose sum is σ = 13413269581920. Its totient is φ = 1553655767040.

The previous prime is 4661115106171. The next prime is 4661115106183. The reversal of 4661115106176 is 6716015111664.

It is a happy number.

4661115106176 is a `hidden beast` number, since 4 + 6 + 6 + 1 + 1 + 1 + 510 + 61 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4661115106171) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64271856 + ... + 64344336.

It is an arithmetic number, because the mean of its divisors is an integer number (139721558145).

Almost surely, 2^{4661115106176} is an apocalyptic number.

It is an amenable number.

4661115106176 is an abundant number, since it is smaller than the sum of its proper divisors (8752154475744).

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

4661115106176 is a wasteful number, since it uses less digits than its factorization.

4661115106176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128324 (or 128309 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 4661115106176 in words is "four trillion, six hundred sixty-one billion, one hundred fifteen million, one hundred six thousand, one hundred seventy-six".