1457789827968 has 192 divisors, whose sum is σ = 4243206258720. Its totient is φ = 480368885760.

The previous prime is 1457789827937. The next prime is 1457789828063. The reversal of 1457789827968 is 8697289877541.

1457789827968 is a `hidden beast` number, since 1 + 457 + 7 + 8 + 98 + 2 + 79 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38016421 + ... + 38054747.

Almost surely, 2^{1457789827968} is an apocalyptic number.

1457789827968 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 1457789827968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121603129360).

1457789827968 is an abundant number, since it is smaller than the sum of its proper divisors (2785416430752).

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

1457789827968 is a wasteful number, since it uses less digits than its factorization.

1457789827968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38725 (or 38710 counting only the distinct ones).

The product of its digits is 3413975040, while the sum is 81.

The spelling of 1457789827968 in words is "one trillion, four hundred fifty-seven billion, seven hundred eighty-nine million, eight hundred twenty-seven thousand, nine hundred sixty-eight".