4656805975008 has 144 divisors (see below), whose sum is σ = 14476109985792. Its totient is φ = 1408278816000.

The previous prime is 4656805974973. The next prime is 4656805975021. The reversal of 4656805975008 is 8005795086564.

4656805975008 is a `hidden beast` number, since 4 + 65 + 68 + 0 + 5 + 9 + 7 + 500 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58593 + ... + 3052383.

It is an arithmetic number, because the mean of its divisors is an integer number (100528541568).

Almost surely, 2^{4656805975008} is an apocalyptic number.

4656805975008 is a gapful number since it is divisible by the number (48) 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 4656805975008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7238054992896).

4656805975008 is an abundant number, since it is smaller than the sum of its proper divisors (9819304010784).

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

4656805975008 is a wasteful number, since it uses less digits than its factorization.

4656805975008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994309 (or 2994298 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 4656805975008 in words is "four trillion, six hundred fifty-six billion, eight hundred five million, nine hundred seventy-five thousand, eight".