1353728480706 has 32 divisors (see below), whose sum is σ = 3438040586880. Its totient is φ = 386779565808.

The previous prime is 1353728480701. The next prime is 1353728480711. The reversal of 1353728480706 is 6070848273531.

It is a happy number.

1353728480706 is a `hidden beast` number, since 1 + 3 + 537 + 28 + 4 + 80 + 7 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1353728480701) and next prime (1353728480711).

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1353728480701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1790645761 + ... + 1790646516.

It is an arithmetic number, because the mean of its divisors is an integer number (107438768340).

Almost surely, 2^{1353728480706} is an apocalyptic number.

1353728480706 is an abundant number, since it is smaller than the sum of its proper divisors (2084312106174).

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

1353728480706 is a wasteful number, since it uses less digits than its factorization.

1353728480706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3581292295 (or 3581292289 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 1353728480706 in words is "one trillion, three hundred fifty-three billion, seven hundred twenty-eight million, four hundred eighty thousand, seven hundred six".