16956408609856 has 63 divisors (see below), whose sum is σ = 33745360399797. Its totient is φ = 8453711535360.

The previous prime is 16956408609839. The next prime is 16956408609859. The reversal of 16956408609856 is 65890680465961.

The square root of 16956408609856 is 4117816.

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

It can be written as a sum of positive squares in only one way, i.e., 10514558523456 + 6441850086400 = 3242616^2 + 2538080^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16956408609859) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18019562346 + ... + 18019563286.

Almost surely, 2^{16956408609856} is an apocalyptic number.

16956408609856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16956408609856 is the 4117816-th square number.

It is an amenable number.

16956408609856 is a deficient number, since it is larger than the sum of its proper divisors (16788951789941).

16956408609856 is an frugal number, since it uses more digits than its factorization.

16956408609856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2988 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 671846400, while the sum is 73.

The spelling of 16956408609856 in words is "sixteen trillion, nine hundred fifty-six billion, four hundred eight million, six hundred nine thousand, eight hundred fifty-six".