468155551864 has 192 divisors, whose sum is σ = 1200571273440. Its totient is φ = 168234071040.

The previous prime is 468155551849. The next prime is 468155551879.

468155551864 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (468155551849) and next prime (468155551879).

It is a junction number, because it is equal to n+sod(n) for n = 468155551799 and 468155551808.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 94900342 + ... + 94905274.

Almost surely, 2^468155551864 is an apocalyptic number.

468155551864 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 468155551864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600285636720).

468155551864 is an abundant number, since it is smaller than the sum of its proper divisors (732415721576).

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

468155551864 is a wasteful number, since it uses less digits than its factorization.

468155551864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6670 (or 6659 counting only the distinct ones).

The product of its digits is 23040000, while the sum is 58.

The spelling of 468155551864 in words is "four hundred sixty-eight billion, one hundred fifty-five million, five hundred fifty-one thousand, eight hundred sixty-four".