460061005056 has 144 divisors (see below), whose sum is σ = 1241015646528. Its totient is φ = 151287808000.

The previous prime is 460061005051. The next prime is 460061005057. The reversal of 460061005056 is 650500160064.

It is a super-2 number, since 2×460061005056² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460061005051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21786055 + ... + 21807161.

It is an arithmetic number, because the mean of its divisors is an integer number (8618164212).

Almost surely, 2^460061005056 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 460061005056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620507823264).

460061005056 is an abundant number, since it is smaller than the sum of its proper divisors (780954641472).

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

460061005056 is a wasteful number, since it uses less digits than its factorization.

460061005056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21508 (or 21494 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 460061005056 in words is "four hundred sixty billion, sixty-one million, five thousand, fifty-six".