463032422440416 has 144 divisors (see below), whose sum is σ = 1386068880268800. Its totient is φ = 146218878860544.

The previous prime is 463032422440409. The next prime is 463032422440421. The reversal of 463032422440416 is 614044224230364.

463032422440416 is a `hidden beast` number, since 4 + 6 + 3 + 0 + 3 + 2 + 4 + 224 + 4 + 0 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 459073105 + ... + 460080623.

It is an arithmetic number, because the mean of its divisors is an integer number (9625478335200).

Almost surely, 2^{463032422440416} is an apocalyptic number.

It is an amenable number.

463032422440416 is an abundant number, since it is smaller than the sum of its proper divisors (923036457828384).

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

463032422440416 is a wasteful number, since it uses less digits than its factorization.

463032422440416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091541 (or 1091530 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 45.

The spelling of 463032422440416 in words is "four hundred sixty-three trillion, thirty-two billion, four hundred twenty-two million, four hundred forty thousand, four hundred sixteen".