4913685504000 has 4032 divisors, whose sum is σ = 23755943457792. Its totient is φ = 1003290624000.

The previous prime is 4913685503983. The next prime is 4913685504011. The reversal of 4913685504000 is 4055863194.

4913685504000 is a `hidden beast` number, since 4 + 9 + 136 + 8 + 5 + 504 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 158505983985 + ... + 158505984015.

It is an arithmetic number, because the mean of its divisors is an integer number (5891851056).

Almost surely, 2^{4913685504000} is an apocalyptic number.

4913685504000 is a gapful number since it is divisible by the number (40) 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 4913685504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11877971728896).

4913685504000 is an abundant number, since it is smaller than the sum of its proper divisors (18842257953792).

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

4913685504000 is an equidigital number, since it uses as much as digits as its factorization.

4913685504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 4913685504000 in words is "four trillion, nine hundred thirteen billion, six hundred eighty-five million, five hundred four thousand".