4663708379136 has 1008 divisors, whose sum is σ = 15654590979300. Its totient is φ = 1383394443264.

The previous prime is 4663708379123. The next prime is 4663708379147. The reversal of 4663708379136 is 6319738073664.

4663708379136 is a `hidden beast` number, since 4 + 6 + 63 + 70 + 8 + 379 + 136 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4210704000000 + 453004379136 = 2052000^2 + 673056^2 .

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 83 ways as a sum of consecutive naturals, for example, 9162491650 + ... + 9162492158.

Almost surely, 2^{4663708379136} 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 4663708379136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7827295489650).

4663708379136 is an abundant number, since it is smaller than the sum of its proper divisors (10990882600164).

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

4663708379136 is an equidigital number, since it uses as much as digits as its factorization.

4663708379136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 63.

The spelling of 4663708379136 in words is "four trillion, six hundred sixty-three billion, seven hundred eight million, three hundred seventy-nine thousand, one hundred thirty-six".