463622870048 has 162 divisors, whose sum is σ = 1014999313671. Its totient is φ = 208363943424.

The previous prime is 463622870003. The next prime is 463622870071. The reversal of 463622870048 is 840078226364.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 343832122384 + 119790747664 = 586372^2 + 346108^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=481468.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 463622869978 and 463622870005.

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 26 ways as a sum of consecutive naturals, for example, 2353415486 + ... + 2353415682.

Almost surely, 2^463622870048 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 463622870048

463622870048 is an abundant number, since it is smaller than the sum of its proper divisors (551376443623).

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

463622870048 is an equidigital number, since it uses as much as digits as its factorization.

463622870048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 50.

Multiplying 463622870048 by its sum of digits (50), we get a square (23181143502400 = 4814680²).

The spelling of 463622870048 in words is "four hundred sixty-three billion, six hundred twenty-two million, eight hundred seventy thousand, forty-eight".