4859972014464 has 288 divisors, whose sum is σ = 16339437691200. Its totient is φ = 1382496159744.

The previous prime is 4859972014463. The next prime is 4859972014493. The reversal of 4859972014464 is 4644102799584.

4859972014464 is a `hidden beast` number, since 4 + 8 + 5 + 99 + 72 + 0 + 14 + 464 = 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 (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4859972014463) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12738609 + ... + 13114575.

It is an arithmetic number, because the mean of its divisors is an integer number (56734158650).

Almost surely, 2^{4859972014464} 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 4859972014464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8169718845600).

4859972014464 is an abundant number, since it is smaller than the sum of its proper divisors (11479465676736).

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

4859972014464 is a wasteful number, since it uses less digits than its factorization.

4859972014464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376230 (or 376208 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 4859972014464 in words is "four trillion, eight hundred fifty-nine billion, nine hundred seventy-two million, fourteen thousand, four hundred sixty-four".