1468833912 has 576 divisors, whose sum is σ = 5591738880. Its totient is φ = 351039744.

The previous prime is 1468833911. The next prime is 1468833923. The reversal of 1468833912 is 2193388641.

It is a super-2 number, since 2×1468833912² = 4314946122082447488, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468833911) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 63862333 + ... + 63862355.

It is an arithmetic number, because the mean of its divisors is an integer number (9707880).

Almost surely, 2^1468833912 is an apocalyptic number.

1468833912 is a gapful number since it is divisible by the number (12) 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 1468833912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2795869440).

1468833912 is an abundant number, since it is smaller than the sum of its proper divisors (4122904968).

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

1468833912 is a wasteful number, since it uses less digits than its factorization.

1468833912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 67 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 1468833912 is about 38325.3690393191. The cubic root of 1468833912 is about 1136.7306328565.

The spelling of 1468833912 in words is "one billion, four hundred sixty-eight million, eight hundred thirty-three thousand, nine hundred twelve".