1675171072656 has 45 divisors (see below), whose sum is σ = 4688195843721. Its totient is φ = 558385180416.

The previous prime is 1675171072651. The next prime is 1675171072667. The reversal of 1675171072656 is 6562701715761.

The square root of 1675171072656 is 1294284.

It is a perfect power (a square), and thus also a powerful number.

1675171072656 is a `hidden beast` number, since 1 + 6 + 7 + 517 + 1 + 0 + 72 + 6 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 504412448400 + 1170758624256 = 710220^2 + 1082016^2 .

It is not an unprimeable number, because it can be changed into a prime (1675171072651) 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 8 ways as a sum of consecutive naturals, for example, 15477480 + ... + 15585336.

Almost surely, 2^{1675171072656} is an apocalyptic number.

1675171072656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1675171072656 is the 1294284-th square number.

It is an amenable number.

1675171072656 is an abundant number, since it is smaller than the sum of its proper divisors (3013024771065).

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

1675171072656 is an frugal number, since it uses more digits than its factorization.

1675171072656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215728 (or 107862 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 54.

The spelling of 1675171072656 in words is "one trillion, six hundred seventy-five billion, one hundred seventy-one million, seventy-two thousand, six hundred fifty-six".