464573545375464 has 192 divisors, whose sum is σ = 1447536599808000. Its totient is φ = 131851892534400.

The previous prime is 464573545375399. The next prime is 464573545375487.

It is a happy number.

464573545375464 is a `hidden beast` number, since 4 + 6 + 4 + 5 + 7 + 3 + 5 + 45 + 37 + 546 + 4 = 666.

464573545375464 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 464573545375392 and 464573545375401.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2814167277 + ... + 2814332355.

It is an arithmetic number, because the mean of its divisors is an integer number (7539253124000).

Almost surely, 2^{464573545375464} 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 464573545375464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723768299904000).

464573545375464 is an abundant number, since it is smaller than the sum of its proper divisors (982963054432536).

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

464573545375464 is a wasteful number, since it uses less digits than its factorization.

464573545375464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202228 (or 202221 counting only the distinct ones).

The product of its digits is 10160640000, while the sum is 72.

The spelling of 464573545375464 in words is "four hundred sixty-four trillion, five hundred seventy-three billion, five hundred forty-five million, three hundred seventy-five thousand, four hundred sixty-four".