1473982368768 has 1056 divisors, whose sum is σ = 5519943475200. Its totient is φ = 385096384512.

The previous prime is 1473982368713. The next prime is 1473982368769. The reversal of 1473982368768 is 8678632893741.

1473982368768 is a `hidden beast` number, since 1 + 473 + 9 + 8 + 23 + 68 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 1473982368696 and 1473982368705.

It is not an unprimeable number, because it can be changed into a prime (1473982368769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2236695223 + ... + 2236695881.

It is an arithmetic number, because the mean of its divisors is an integer number (5227219200).

Almost surely, 2^{1473982368768} is an apocalyptic number.

1473982368768 is a gapful number since it is divisible by the number (18) 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 1473982368768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759971737600).

1473982368768 is an abundant number, since it is smaller than the sum of its proper divisors (4045961106432).

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

1473982368768 is a wasteful number, since it uses less digits than its factorization.

1473982368768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 811 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 72.

The spelling of 1473982368768 in words is "one trillion, four hundred seventy-three billion, nine hundred eighty-two million, three hundred sixty-eight thousand, seven hundred sixty-eight".