1468096119936 has 320 divisors, whose sum is σ = 4411808839680. Its totient is φ = 484589371392.

The previous prime is 1468096119887. The next prime is 1468096119949. The reversal of 1468096119936 is 6399116908641.

1468096119936 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 0 + 9 + 611 + 9 + 9 + 3 + 6 = 666.

It is a super-2 number, since 2×1468096119936² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1273283136 + ... + 1273284288.

It is an arithmetic number, because the mean of its divisors is an integer number (13786902624).

Almost surely, 2^{1468096119936} is an apocalyptic number.

1468096119936 is a gapful number since it is divisible by the number (16) 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 1468096119936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205904419840).

1468096119936 is an abundant number, since it is smaller than the sum of its proper divisors (2943712719744).

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

1468096119936 is a wasteful number, since it uses less digits than its factorization.

1468096119936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273 (or 2252 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 1468096119936 in words is "one trillion, four hundred sixty-eight billion, ninety-six million, one hundred nineteen thousand, nine hundred thirty-six".