464635616445 has 256 divisors, whose sum is σ = 1111830773760. Its totient is φ = 177796684800.

The previous prime is 464635616371. The next prime is 464635616453. The reversal of 464635616445 is 544616536464.

464635616445 is a `hidden beast` number, since 464 + 63 + 5 + 61 + 64 + 4 + 5 = 666.

It is not a de Polignac number, because 464635616445 - 2⁷ = 464635616317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 464635616391 and 464635616400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 56887752 + ... + 56895918.

It is an arithmetic number, because the mean of its divisors is an integer number (4343088960).

Almost surely, 2^464635616445 is an apocalyptic number.

464635616445 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

464635616445 is an abundant number, since it is smaller than the sum of its proper divisors (647195157315).

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

464635616445 is a wasteful number, since it uses less digits than its factorization.

464635616445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8633 (or 8627 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 54.

The spelling of 464635616445 in words is "four hundred sixty-four billion, six hundred thirty-five million, six hundred sixteen thousand, four hundred forty-five".