459987650191872 has 1800 divisors, whose sum is σ = 1644286694916096. Its totient is φ = 127778466816000.

The previous prime is 459987650191871. The next prime is 459987650191933. The reversal of 459987650191872 is 278191056789954.

459987650191872 is a `hidden beast` number, since 4 + 5 + 9 + 98 + 7 + 6 + 501 + 9 + 18 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 459987650191791 and 459987650191800.

It is not an unprimeable number, because it can be changed into a prime (459987650191871) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 56157687297 + ... + 56157695487.

Almost surely, 2^{459987650191872} 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 459987650191872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822143347458048).

459987650191872 is an abundant number, since it is smaller than the sum of its proper divisors (1184299044724224).

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

459987650191872 is a wasteful number, since it uses less digits than its factorization.

459987650191872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8312 (or 8257 counting only the distinct ones).

The product of its (nonzero) digits is 2743372800, while the sum is 81.

The spelling of 459987650191872 in words is "four hundred fifty-nine trillion, nine hundred eighty-seven billion, six hundred fifty million, one hundred ninety-one thousand, eight hundred seventy-two".