461233206012656 has 320 divisors, whose sum is σ = 1186420830206976. Its totient is φ = 168165343641600.

The previous prime is 461233206012653. The next prime is 461233206012661. The reversal of 461233206012656 is 656210602332164.

It is a self number, because there is not a number n which added to its sum of digits gives 461233206012656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461233206012653) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36138300131 + ... + 36138312893.

Almost surely, 2^{461233206012656} 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 461233206012656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593210415103488).

461233206012656 is an abundant number, since it is smaller than the sum of its proper divisors (725187624194320).

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

461233206012656 is a wasteful number, since it uses less digits than its factorization.

461233206012656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22520 (or 22514 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 47.

The spelling of 461233206012656 in words is "four hundred sixty-one trillion, two hundred thirty-three billion, two hundred six million, twelve thousand, six hundred fifty-six".