464665603606112 has 192 divisors, whose sum is σ = 954498207398400. Its totient is φ = 222429035888640.

The previous prime is 464665603606109. The next prime is 464665603606129. The reversal of 464665603606112 is 211606306566464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105677869898 + ... + 105677874294.

It is an arithmetic number, because the mean of its divisors is an integer number (4971344830200).

Almost surely, 2^{464665603606112} 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 464665603606112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477249103699200).

464665603606112 is an abundant number, since it is smaller than the sum of its proper divisors (489832603792288).

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

464665603606112 is a wasteful number, since it uses less digits than its factorization.

464665603606112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7529 (or 7521 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 56.

The spelling of 464665603606112 in words is "four hundred sixty-four trillion, six hundred sixty-five billion, six hundred three million, six hundred six thousand, one hundred twelve".