464212212464 has 320 divisors, whose sum is σ = 1248603417600. Its totient is φ = 161362575360.

The previous prime is 464212212463. The next prime is 464212212491.

464212212464 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464212212463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66799262 + ... + 66806210.

It is an arithmetic number, because the mean of its divisors is an integer number (3901885680).

Almost surely, 2^464212212464 is an apocalyptic number.

464212212464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464212212464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624301708800).

464212212464 is an abundant number, since it is smaller than the sum of its proper divisors (784391205136).

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

464212212464 is a wasteful number, since it uses less digits than its factorization.

464212212464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7128 (or 7122 counting only the distinct ones).

The product of its digits is 147456, while the sum is 38.

It can be divided in two parts, 464212 and 212464, that added together give a palindrome (676676).

The spelling of 464212212464 in words is "four hundred sixty-four billion, two hundred twelve million, two hundred twelve thousand, four hundred sixty-four".