468692646296864 has 192 divisors, whose sum is σ = 1040351526466560. Its totient is φ = 206003736960000.

The previous prime is 468692646296839. The next prime is 468692646296869.

468692646296864 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (86).

It is not an unprimeable number, because it can be changed into a prime (468692646296869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24397088219 + ... + 24397107429.

It is an arithmetic number, because the mean of its divisors is an integer number (5418497533680).

Almost surely, 2^{468692646296864} is an apocalyptic number.

468692646296864 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 468692646296864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520175763233280).

468692646296864 is an abundant number, since it is smaller than the sum of its proper divisors (571658880169696).

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

468692646296864 is a wasteful number, since it uses less digits than its factorization.

468692646296864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35335 (or 35327 counting only the distinct ones).

The product of its digits is 61917364224, while the sum is 86.

The spelling of 468692646296864 in words is "four hundred sixty-eight trillion, six hundred ninety-two billion, six hundred forty-six million, two hundred ninety-six thousand, eight hundred sixty-four".