1456938832097 has 32 divisors (see below), whose sum is σ = 1893682656000. Its totient is φ = 1113485232384.

The previous prime is 1456938832081. The next prime is 1456938832109. The reversal of 1456938832097 is 7902388396541.

It is not a de Polignac number, because 1456938832097 - 2⁴ = 1456938832081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1456938832897) 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, 6464498 + ... + 6686075.

It is an arithmetic number, because the mean of its divisors is an integer number (59177583000).

It is a 1-persistent number, because it is pandigital, but 2⋅1456938832097 = 2913877664194 is not.

Almost surely, 2^{1456938832097} is an apocalyptic number.

1456938832097 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1456938832097 is a deficient number, since it is larger than the sum of its proper divisors (436743823903).

1456938832097 is a wasteful number, since it uses less digits than its factorization.

1456938832097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13150630 (or 13150616 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 65.

The spelling of 1456938832097 in words is "one trillion, four hundred fifty-six billion, nine hundred thirty-eight million, eight hundred thirty-two thousand, ninety-seven".