464654282456464 has 160 divisors (see below), whose sum is σ = 946045439930880. Its totient is φ = 220795411200000.

The previous prime is 464654282456449. The next prime is 464654282456471.

It is a happy number.

464654282456464 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 464654282456393 and 464654282456402.

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, 9008219154 + ... + 9008270734.

It is an arithmetic number, because the mean of its divisors is an integer number (5912783999568).

Almost surely, 2^{464654282456464} 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 464654282456464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473022719965440).

464654282456464 is an abundant number, since it is smaller than the sum of its proper divisors (481391157474416).

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

464654282456464 is a wasteful number, since it uses less digits than its factorization.

464654282456464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52841 (or 52835 counting only the distinct ones).

The product of its digits is 4246732800, while the sum is 70.

The spelling of 464654282456464 in words is "four hundred sixty-four trillion, six hundred fifty-four billion, two hundred eighty-two million, four hundred fifty-six thousand, four hundred sixty-four".