1696079056896 has 1755 divisors, whose sum is σ = 6607854979209. Its totient is φ = 432083828736.

The previous prime is 1696079056853. The next prime is 1696079056897. The reversal of 1696079056896 is 6986509706961.

The square root of 1696079056896 is 1302336.

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

1696079056896 is a `hidden beast` number, since 1 + 6 + 9 + 607 + 9 + 0 + 5 + 6 + 8 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1320476774400 + 375602282496 = 1149120^2 + 612864^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (1696079056897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 89267318775 + ... + 89267318793.

Almost surely, 2^{1696079056896} is an apocalyptic number.

1696079056896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1696079056896 is the 1302336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1696079056896

1696079056896 is an abundant number, since it is smaller than the sum of its proper divisors (4911775922313).

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

1696079056896 is an equidigital number, since it uses as much as digits as its factorization.

1696079056896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 1696079056896 in words is "one trillion, six hundred ninety-six billion, seventy-nine million, fifty-six thousand, eight hundred ninety-six".