464542245464 has 64 divisors (see below), whose sum is σ = 959707008000. Its totient is φ = 209044120320.

The previous prime is 464542245449. The next prime is 464542245469.

It is a happy number.

464542245464 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 (464542245469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47209457 + ... + 47219295.

It is an arithmetic number, because the mean of its divisors is an integer number (14995422000).

Almost surely, 2^464542245464 is an apocalyptic number.

464542245464 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 464542245464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479853504000).

464542245464 is an abundant number, since it is smaller than the sum of its proper divisors (495164762536).

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

464542245464 is a wasteful number, since it uses less digits than its factorization.

464542245464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15168 (or 15164 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 50.

The spelling of 464542245464 in words is "four hundred sixty-four billion, five hundred forty-two million, two hundred forty-five thousand, four hundred sixty-four".