1457429485761 has 32 divisors (see below), whose sum is σ = 2161669386240. Its totient is φ = 970488723600.

The previous prime is 1457429485751. The next prime is 1457429485801. The reversal of 1457429485761 is 1675849247541.

It is a happy number.

1457429485761 is a `hidden beast` number, since 1 + 4 + 5 + 74 + 29 + 485 + 7 + 61 = 666.

It is not a de Polignac number, because 1457429485761 - 2¹⁵ = 1457429452993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1457429485751) 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 31 ways as a sum of consecutive naturals, for example, 111222136 + ... + 111235238.

It is an arithmetic number, because the mean of its divisors is an integer number (67552168320).

Almost surely, 2^{1457429485761} is an apocalyptic number.

It is an amenable number.

1457429485761 is a deficient number, since it is larger than the sum of its proper divisors (704239900479).

1457429485761 is a wasteful number, since it uses less digits than its factorization.

1457429485761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17594 (or 17588 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 63.

The spelling of 1457429485761 in words is "one trillion, four hundred fifty-seven billion, four hundred twenty-nine million, four hundred eighty-five thousand, seven hundred sixty-one".