468893849116 has 192 divisors, whose sum is σ = 1109957345280. Its totient is φ = 167878656000.

The previous prime is 468893849113. The next prime is 468893849167. The reversal of 468893849116 is 611948398864.

It is a happy number.

It is a super-2 number, since 2×468893849116² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468893849111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30517276 + ... + 30532636.

It is an arithmetic number, because the mean of its divisors is an integer number (5781027840).

Almost surely, 2^468893849116 is an apocalyptic number.

468893849116 is a gapful number since it is divisible by the number (46) 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 468893849116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554978672640).

468893849116 is an abundant number, since it is smaller than the sum of its proper divisors (641063496164).

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

468893849116 is a wasteful number, since it uses less digits than its factorization.

468893849116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15576 (or 15574 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 67.

The spelling of 468893849116 in words is "four hundred sixty-eight billion, eight hundred ninety-three million, eight hundred forty-nine thousand, one hundred sixteen".