459395334187764 has 192 divisors, whose sum is σ = 1219816589644800. Its totient is φ = 133397709484032.

The previous prime is 459395334187759. The next prime is 459395334187813. The reversal of 459395334187764 is 467781433593954.

It is a super-2 number, since 2×459395334187764² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a self number, because there is not a number n which added to its sum of digits gives 459395334187764.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 928768164 + ... + 929262660.

It is an arithmetic number, because the mean of its divisors is an integer number (6353211404400).

Almost surely, 2^{459395334187764} 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 459395334187764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609908294822400).

459395334187764 is an abundant number, since it is smaller than the sum of its proper divisors (760421255457036).

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

459395334187764 is a wasteful number, since it uses less digits than its factorization.

459395334187764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495742 (or 495740 counting only the distinct ones).

The product of its digits is 8230118400, while the sum is 78.

The spelling of 459395334187764 in words is "four hundred fifty-nine trillion, three hundred ninety-five billion, three hundred thirty-four million, one hundred eighty-seven thousand, seven hundred sixty-four".