459691109712 has 160 divisors (see below), whose sum is σ = 1341890184960. Its totient is φ = 150640680960.

The previous prime is 459691109707. The next prime is 459691109729. The reversal of 459691109712 is 217901196954.

It is a happy number.

459691109712 is a `hidden beast` number, since 459 + 6 + 9 + 110 + 9 + 71 + 2 = 666.

It is a super-2 number, since 2×459691109712² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 10805988 + ... + 10848444.

It is an arithmetic number, because the mean of its divisors is an integer number (8386813656).

Almost surely, 2^459691109712 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 459691109712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670945092480).

459691109712 is an abundant number, since it is smaller than the sum of its proper divisors (882199075248).

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

459691109712 is a wasteful number, since it uses less digits than its factorization.

459691109712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42898 (or 42886 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 459691109712 in words is "four hundred fifty-nine billion, six hundred ninety-one million, one hundred nine thousand, seven hundred twelve".