4659189120000 has 1760 divisors, whose sum is σ = 18969617779200. Its totient is φ = 1124057088000.

The previous prime is 4659189119951. The next prime is 4659189120043. The reversal of 4659189120000 is 219819564.

4659189120000 is a `hidden beast` number, since 46 + 591 + 8 + 9 + 12 + 0 + 0 + 0 + 0 = 666.

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

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, 7551359692 + ... + 7551360308.

It is an arithmetic number, because the mean of its divisors is an integer number (10778191920).

Almost surely, 2^{4659189120000} is an apocalyptic number.

4659189120000 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 4659189120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9484808889600).

4659189120000 is an abundant number, since it is smaller than the sum of its proper divisors (14310428659200).

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

4659189120000 is a wasteful number, since it uses less digits than its factorization.

4659189120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 4659189120000 in words is "four trillion, six hundred fifty-nine billion, one hundred eighty-nine million, one hundred twenty thousand".