16106705315856 has 675 divisors, whose sum is σ = 50470386943053. Its totient is φ = 4958532184320.

The previous prime is 16106705315837. The next prime is 16106705315873. The reversal of 16106705315856 is 65851350760161.

The square root of 16106705315856 is 4013316.

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

16106705315856 is a `hidden beast` number, since 1 + 6 + 1 + 0 + 6 + 7 + 0 + 53 + 1 + 585 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14412501104400 + 1694204211456 = 3796380^2 + 1301616^2 .

It is a super-2 number, since 2×16106705315856² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 122951948911 + ... + 122951949041.

Almost surely, 2^{16106705315856} is an apocalyptic number.

16106705315856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16106705315856 is the 4013316-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16106705315856

16106705315856 is an abundant number, since it is smaller than the sum of its proper divisors (34363681627197).

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

16106705315856 is an equidigital number, since it uses as much as digits as its factorization.

16106705315856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 16106705315856 in words is "sixteen trillion, one hundred six billion, seven hundred five million, three hundred fifteen thousand, eight hundred fifty-six".