1468704545280 has 3200 divisors, whose sum is σ = 6827593006080. Its totient is φ = 294298583040.

The previous prime is 1468704545227. The next prime is 1468704545291. The reversal of 1468704545280 is 825454078641.

1468704545280 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 70 + 4 + 545 + 28 + 0 = 666.

It is a super-2 number, since 2×1468704545280² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 35822062060 + ... + 35822062100.

Almost surely, 2^{1468704545280} is an apocalyptic number.

1468704545280 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 1468704545280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3413796503040).

1468704545280 is an abundant number, since it is smaller than the sum of its proper divisors (5358888460800).

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

1468704545280 is a wasteful number, since it uses less digits than its factorization.

1468704545280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 1468704545280 in words is "one trillion, four hundred sixty-eight billion, seven hundred four million, five hundred forty-five thousand, two hundred eighty".