1457429485764 has 96 divisors (see below), whose sum is σ = 3945088000000. Its totient is φ = 410130749952.

The previous prime is 1457429485751. The next prime is 1457429485801. The reversal of 1457429485764 is 4675849247541.

It is a junction number, because it is equal to n+sod(n) for n = 1457429485695 and 1457429485704.

It is an unprimeable number.

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, 46623612 + ... + 46654860.

Almost surely, 2^{1457429485764} is an apocalyptic number.

1457429485764 is a gapful number since it is divisible by the number (14) 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 1457429485764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1972544000000).

1457429485764 is an abundant number, since it is smaller than the sum of its proper divisors (2487658514236).

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

1457429485764 is a wasteful number, since it uses less digits than its factorization.

1457429485764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39617 (or 39615 counting only the distinct ones).

The product of its digits is 270950400, while the sum is 66.

The spelling of 1457429485764 in words is "one trillion, four hundred fifty-seven billion, four hundred twenty-nine million, four hundred eighty-five thousand, seven hundred sixty-four".