459661945092 has 96 divisors (see below), whose sum is σ = 1241137078272. Its totient is φ = 129686539776.

The previous prime is 459661945087. The next prime is 459661945109. The reversal of 459661945092 is 290549166954.

It is a super-2 number, since 2×459661945092² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15372268 + ... + 15402140.

It is an arithmetic number, because the mean of its divisors is an integer number (12928511232).

Almost surely, 2^459661945092 is an apocalyptic number.

459661945092 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 459661945092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620568539136).

459661945092 is an abundant number, since it is smaller than the sum of its proper divisors (781475133180).

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

459661945092 is a wasteful number, since it uses less digits than its factorization.

459661945092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32177 (or 32175 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 60.

The spelling of 459661945092 in words is "four hundred fifty-nine billion, six hundred sixty-one million, nine hundred forty-five thousand, ninety-two".