461456142450000 has 480 divisors, whose sum is σ = 1523655051085440. Its totient is φ = 120300537600000.

The previous prime is 461456142449977. The next prime is 461456142450007. The reversal of 461456142450000 is 54241654164.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461456142450007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1601705962 + ... + 1601994038.

It is an arithmetic number, because the mean of its divisors is an integer number (3174281356428).

Almost surely, 2^{461456142450000} is an apocalyptic number.

461456142450000 is a gapful number since it is divisible by the number (40) 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 461456142450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761827525542720).

461456142450000 is an abundant number, since it is smaller than the sum of its proper divisors (1062198908635440).

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

461456142450000 is a wasteful number, since it uses less digits than its factorization.

461456142450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288353 (or 288327 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 461456142450000 in words is "four hundred sixty-one trillion, four hundred fifty-six billion, one hundred forty-two million, four hundred fifty thousand".