4600142618904 has 640 divisors, whose sum is σ = 16091412480000. Its totient is φ = 1198128879360.

The previous prime is 4600142618891. The next prime is 4600142618957. The reversal of 4600142618904 is 4098162410064.

4600142618904 is a `hidden beast` number, since 4 + 600 + 1 + 4 + 26 + 18 + 9 + 0 + 4 = 666.

It is a super-2 number, since 2×4600142618904² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4600142618904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 478230207 + ... + 478239825.

It is an arithmetic number, because the mean of its divisors is an integer number (25142832000).

Almost surely, 2^{4600142618904} 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 4600142618904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8045706240000).

4600142618904 is an abundant number, since it is smaller than the sum of its proper divisors (11491269861096).

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

4600142618904 is a wasteful number, since it uses less digits than its factorization.

4600142618904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9873 (or 9860 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 4600142618904 in words is "four trillion, six hundred billion, one hundred forty-two million, six hundred eighteen thousand, nine hundred four".