467841148764 has 192 divisors, whose sum is σ = 1309261363200. Its totient is φ = 128462112000.

The previous prime is 467841148759. The next prime is 467841148777.

467841148764 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 467841148698 and 467841148707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5432239 + ... + 5517689.

It is an arithmetic number, because the mean of its divisors is an integer number (6819069600).

Almost surely, 2^467841148764 is an apocalyptic number.

467841148764 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 467841148764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654630681600).

467841148764 is an abundant number, since it is smaller than the sum of its proper divisors (841420214436).

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

467841148764 is a wasteful number, since it uses less digits than its factorization.

467841148764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85584 (or 85582 counting only the distinct ones).

The product of its digits is 28901376, while the sum is 60.

It can be divided in two parts, 467841 and 148764, that added together give a triangular number (616605 = T₁₁₁₀).

The spelling of 467841148764 in words is "four hundred sixty-seven billion, eight hundred forty-one million, one hundred forty-eight thousand, seven hundred sixty-four".