465605624445696 has 576 divisors, whose sum is σ = 1581589889510400. Its totient is φ = 132353409024000.

The previous prime is 465605624445679. The next prime is 465605624445719. The reversal of 465605624445696 is 696544426506564.

It is a happy number.

465605624445696 is a `hidden beast` number, since 4 + 6 + 5 + 6 + 0 + 56 + 2 + 4 + 4 + 4 + 569 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16076972656 + ... + 16077001616.

It is an arithmetic number, because the mean of its divisors is an integer number (2745815780400).

Almost surely, 2^{465605624445696} 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 465605624445696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790794944755200).

465605624445696 is an abundant number, since it is smaller than the sum of its proper divisors (1115984265064704).

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

465605624445696 is a wasteful number, since it uses less digits than its factorization.

465605624445696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30673 (or 30653 counting only the distinct ones).

The product of its (nonzero) digits is 4478976000, while the sum is 72.

The spelling of 465605624445696 in words is "four hundred sixty-five trillion, six hundred five billion, six hundred twenty-four million, four hundred forty-five thousand, six hundred ninety-six".