459642782144 has 504 divisors, whose sum is σ = 1213889701248. Its totient is φ = 169019136000.

The previous prime is 459642782141. The next prime is 459642782171. The reversal of 459642782144 is 441287246954.

It is a super-2 number, since 2×459642782144² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 459642782144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459642782141) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1831246019 + ... + 1831246269.

It is an arithmetic number, because the mean of its divisors is an integer number (2408511312).

Almost surely, 2^459642782144 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 459642782144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606944850624).

459642782144 is an abundant number, since it is smaller than the sum of its proper divisors (754246919104).

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

459642782144 is a wasteful number, since it uses less digits than its factorization.

459642782144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 359 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 56.

The spelling of 459642782144 in words is "four hundred fifty-nine billion, six hundred forty-two million, seven hundred eighty-two thousand, one hundred forty-four".