461456143302144 has 80 divisors (see below), whose sum is σ = 1229381329358160. Its totient is φ = 153814545039360.

The previous prime is 461456143302101. The next prime is 461456143302313. The reversal of 461456143302144 is 441203341654164.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 461456143302093 and 461456143302102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52872552 + ... + 60978840.

It is an arithmetic number, because the mean of its divisors is an integer number (15367266616977).

Almost surely, 2^{461456143302144} is an apocalyptic number.

It is an amenable number.

461456143302144 is an abundant number, since it is smaller than the sum of its proper divisors (767925186056016).

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

461456143302144 is an equidigital number, since it uses as much as digits as its factorization.

461456143302144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8143371 (or 8143355 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 461456143302144 in words is "four hundred sixty-one trillion, four hundred fifty-six billion, one hundred forty-three million, three hundred two thousand, one hundred forty-four".