460543244226336 has 192 divisors, whose sum is σ = 1354491968054400. Its totient is φ = 152235089280000.

The previous prime is 460543244226313. The next prime is 460543244226379. The reversal of 460543244226336 is 633622442345064.

It is a happy number.

460543244226336 is a `hidden beast` number, since 4 + 6 + 0 + 5 + 43 + 2 + 44 + 226 + 336 = 666.

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

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, 45025066 + ... + 54298646.

It is an arithmetic number, because the mean of its divisors is an integer number (7054645666950).

Almost surely, 2^{460543244226336} 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 460543244226336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677245984027200).

460543244226336 is an abundant number, since it is smaller than the sum of its proper divisors (893948723828064).

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

460543244226336 is a wasteful number, since it uses less digits than its factorization.

460543244226336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9274080 (or 9274066 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 54.

The spelling of 460543244226336 in words is "four hundred sixty trillion, five hundred forty-three billion, two hundred forty-four million, two hundred twenty-six thousand, three hundred thirty-six".