1457145936928 has 48 divisors (see below), whose sum is σ = 3130971750144. Its totient is φ = 662038600960.

The previous prime is 1457145936907. The next prime is 1457145936991. The reversal of 1457145936928 is 8296395417541.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1457145936928.

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 7 ways as a sum of consecutive naturals, for example, 160975 + ... + 1714702.

It is an arithmetic number, because the mean of its divisors is an integer number (65228578128).

Almost surely, 2^{1457145936928} is an apocalyptic number.

It is an amenable number.

1457145936928 is an abundant number, since it is smaller than the sum of its proper divisors (1673825813216).

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

1457145936928 is a wasteful number, since it uses less digits than its factorization.

1457145936928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877905 (or 1877897 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 64.

The spelling of 1457145936928 in words is "one trillion, four hundred fifty-seven billion, one hundred forty-five million, nine hundred thirty-six thousand, nine hundred twenty-eight".