461255263456 has 192 divisors, whose sum is σ = 1061377067520. Its totient is φ = 195624253440.

The previous prime is 461255263379. The next prime is 461255263471. The reversal of 461255263456 is 654362552164.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25087675 + ... + 25106053.

It is an arithmetic number, because the mean of its divisors is an integer number (5528005560).

Almost surely, 2^461255263456 is an apocalyptic number.

461255263456 is a gapful number since it is divisible by the number (46) 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 461255263456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530688533760).

461255263456 is an abundant number, since it is smaller than the sum of its proper divisors (600121804064).

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

461255263456 is a wasteful number, since it uses less digits than its factorization.

461255263456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18529 (or 18521 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 49.

The spelling of 461255263456 in words is "four hundred sixty-one billion, two hundred fifty-five million, two hundred sixty-three thousand, four hundred fifty-six".