464236632464 has 30 divisors (see below), whose sum is σ = 988660972950. Its totient is φ = 211016650240.

The previous prime is 464236632463. The next prime is 464236632493.

464236632464 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 376210489600 + 88026142864 = 613360^2 + 296692^2 .

It is a super-2 number, since 2×464236632464² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (464236632463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 119893889 + ... + 119897760.

It is an arithmetic number, because the mean of its divisors is an integer number (32955365765).

Almost surely, 2^464236632464 is an apocalyptic number.

464236632464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

464236632464 is an abundant number, since it is smaller than the sum of its proper divisors (524424340486).

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

464236632464 is a wasteful number, since it uses less digits than its factorization.

464236632464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239791679 (or 239791662 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 50.

The spelling of 464236632464 in words is "four hundred sixty-four billion, two hundred thirty-six million, six hundred thirty-two thousand, four hundred sixty-four".