4986346888224 has 288 divisors, whose sum is σ = 15406510863744. Its totient is φ = 1520643870720.

The previous prime is 4986346888217. The next prime is 4986346888253. The reversal of 4986346888224 is 4228886436894.

4986346888224 is a `hidden beast` number, since 4 + 9 + 8 + 63 + 468 + 8 + 82 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 420321717 + ... + 420333579.

It is an arithmetic number, because the mean of its divisors is an integer number (53494829388).

Almost surely, 2^{4986346888224} 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 4986346888224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7703255431872).

4986346888224 is an abundant number, since it is smaller than the sum of its proper divisors (10420163975520).

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

4986346888224 is a wasteful number, since it uses less digits than its factorization.

4986346888224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12880 (or 12869 counting only the distinct ones).

The product of its digits is 1019215872, while the sum is 72.

The spelling of 4986346888224 in words is "four trillion, nine hundred eighty-six billion, three hundred forty-six million, eight hundred eighty-eight thousand, two hundred twenty-four".