1657243934656 has 56 divisors (see below), whose sum is σ = 3365243642880. Its totient is φ = 809378664192.

The previous prime is 1657243934651. The next prime is 1657243934659. The reversal of 1657243934656 is 6564393427561.

It is a junction number, because it is equal to n+sod(n) for n = 1657243934594 and 1657243934603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1657243934651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 965365 + ... + 2060683.

It is an arithmetic number, because the mean of its divisors is an integer number (60093636480).

Almost surely, 2^{1657243934656} is an apocalyptic number.

1657243934656 is a gapful number since it is divisible by the number (16) 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 1657243934656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682621821440).

1657243934656 is an abundant number, since it is smaller than the sum of its proper divisors (1707999708224).

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

1657243934656 is a wasteful number, since it uses less digits than its factorization.

1657243934656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095881 (or 1095871 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 61.

The spelling of 1657243934656 in words is "one trillion, six hundred fifty-seven billion, two hundred forty-three million, nine hundred thirty-four thousand, six hundred fifty-six".