459694225143552 has 648 divisors, whose sum is σ = 1495575727027200. Its totient is φ = 124971933757440.

The previous prime is 459694225143541. The next prime is 459694225143617. The reversal of 459694225143552 is 255341522496954.

It is a happy number.

It is a super-2 number, since 2×459694225143552² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3802239199 + ... + 3802360097.

Almost surely, 2^{459694225143552} is an apocalyptic number.

459694225143552 is a gapful number since it is divisible by the number (42) 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 459694225143552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747787863513600).

459694225143552 is an abundant number, since it is smaller than the sum of its proper divisors (1035881501883648).

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

459694225143552 is a wasteful number, since it uses less digits than its factorization.

459694225143552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121169 (or 121125 counting only the distinct ones).

The product of its digits is 466560000, while the sum is 66.

The spelling of 459694225143552 in words is "four hundred fifty-nine trillion, six hundred ninety-four billion, two hundred twenty-five million, one hundred forty-three thousand, five hundred fifty-two".