1468385470080 has 384 divisors, whose sum is σ = 5261771249280. Its totient is φ = 391312207872.

The previous prime is 1468385470073. The next prime is 1468385470081. The reversal of 1468385470080 is 800745838641.

1468385470080 is a `hidden beast` number, since 1 + 4 + 68 + 38 + 5 + 470 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1468385469999 and 1468385470026.

It is not an unprimeable number, because it can be changed into a prime (1468385470081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 416325277 + ... + 416328803.

It is an arithmetic number, because the mean of its divisors is an integer number (13702529295).

Almost surely, 2^{1468385470080} is an apocalyptic number.

1468385470080 is a gapful number since it is divisible by the number (10) 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 1468385470080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630885624640).

1468385470080 is an abundant number, since it is smaller than the sum of its proper divisors (3793385779200).

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

1468385470080 is an equidigital number, since it uses as much as digits as its factorization.

1468385470080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6238 (or 6214 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 1468385470080 in words is "one trillion, four hundred sixty-eight billion, three hundred eighty-five million, four hundred seventy thousand, eighty".