464314282413464 has 128 divisors (see below), whose sum is σ = 1002449081088000. Its totient is φ = 197497645341696.

The previous prime is 464314282413461. The next prime is 464314282413469.

464314282413464 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464314282413461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38825504717 + ... + 38825516675.

It is an arithmetic number, because the mean of its divisors is an integer number (7831633446000).

Almost surely, 2^{464314282413464} is an apocalyptic number.

It is an amenable number.

464314282413464 is an abundant number, since it is smaller than the sum of its proper divisors (538134798674536).

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

464314282413464 is a wasteful number, since it uses less digits than its factorization.

464314282413464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18145 (or 18141 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 56.

The spelling of 464314282413464 in words is "four hundred sixty-four trillion, three hundred fourteen billion, two hundred eighty-two million, four hundred thirteen thousand, four hundred sixty-four".