208160412516 has 567 divisors, whose sum is σ = 684553232937. Its totient is φ = 55187516160.

The previous prime is 208160412487. The next prime is 208160412517. The reversal of 208160412516 is 615214061802.

It is a happy number.

The square root of 208160412516 is 456246.

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

208160412516 is a `hidden beast` number, since 2 + 0 + 81 + 60 + 4 + 1 + 2 + 516 = 666.

It can be written as a sum of positive squares in only one way, i.e., 162062604900 + 46097807616 = 402570^2 + 214704^2 .

It is a tau number, because it is divible by the number of its divisors (567).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (208160412517) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 2931836761 + ... + 2931836831.

Almost surely, 2^208160412516 is an apocalyptic number.

208160412516 is the 456246-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208160412516

208160412516 is an abundant number, since it is smaller than the sum of its proper divisors (476392820421).

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

208160412516 is an equidigital number, since it uses as much as digits as its factorization.

208160412516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Multiplying 208160412516 by its sum of digits (36), we get a square (7493774850576 = 2737476²).

208160412516 divided by its sum of digits (36) gives a square (5782233681 = 76041²).

The spelling of 208160412516 in words is "two hundred eight billion, one hundred sixty million, four hundred twelve thousand, five hundred sixteen".