1468580373792 has 192 divisors, whose sum is σ = 4896126547200. Its totient is φ = 419520798720.

The previous prime is 1468580373781. The next prime is 1468580373809. The reversal of 1468580373792 is 2973730858641.

1468580373792 is a `hidden beast` number, since 1 + 46 + 8 + 580 + 3 + 7 + 3 + 7 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40993584 + ... + 41029392.

It is an arithmetic number, because the mean of its divisors is an integer number (25500659100).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1468580373792 = 2937160747584, but 3⋅1468580373792 = 4405741121376 is not.

Almost surely, 2^{1468580373792} is an apocalyptic number.

1468580373792 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 1468580373792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448063273600).

1468580373792 is an abundant number, since it is smaller than the sum of its proper divisors (3427546173408).

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

1468580373792 is a wasteful number, since it uses less digits than its factorization.

1468580373792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42616 (or 42602 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 1468580373792 in words is "one trillion, four hundred sixty-eight billion, five hundred eighty million, three hundred seventy-three thousand, seven hundred ninety-two".