468734437864 has 192 divisors, whose sum is σ = 1232264741760. Its totient is φ = 164407541760.

The previous prime is 468734437823. The next prime is 468734437879.

468734437864 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 468734437796 and 468734437805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1546984 + ... + 1825000.

It is an arithmetic number, because the mean of its divisors is an integer number (6418045530).

Almost surely, 2^468734437864 is an apocalyptic number.

468734437864 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 468734437864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616132370880).

468734437864 is an abundant number, since it is smaller than the sum of its proper divisors (763530303896).

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

468734437864 is a wasteful number, since it uses less digits than its factorization.

468734437864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278088 (or 278077 counting only the distinct ones).

The product of its digits is 260112384, while the sum is 64.

The spelling of 468734437864 in words is "four hundred sixty-eight billion, seven hundred thirty-four million, four hundred thirty-seven thousand, eight hundred sixty-four".