459845990961120 has 240 divisors, whose sum is σ = 1627045071331680. Its totient is φ = 122310363350016.

The previous prime is 459845990961101. The next prime is 459845990961121. The reversal of 459845990961120 is 21169099548954.

459845990961120 is a `hidden beast` number, since 4 + 5 + 9 + 8 + 4 + 599 + 0 + 9 + 6 + 1 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×459845990961120² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459845990961121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40565172 + ... + 50648051.

It is an arithmetic number, because the mean of its divisors is an integer number (6779354463882).

Almost surely, 2^{459845990961120} is an apocalyptic number.

459845990961120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

459845990961120 is an abundant number, since it is smaller than the sum of its proper divisors (1167199080370560).

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

459845990961120 is a wasteful number, since it uses less digits than its factorization.

459845990961120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91213639 (or 91213622 counting only the distinct ones).

The product of its (nonzero) digits is 251942400, while the sum is 72.

The spelling of 459845990961120 in words is "four hundred fifty-nine trillion, eight hundred forty-five billion, nine hundred ninety million, nine hundred sixty-one thousand, one hundred twenty".