20968198416 has 135 divisors (see below), whose sum is σ = 64560370693. Its totient is φ = 6348207360.

The previous prime is 20968198409. The next prime is 20968198421. The reversal of 20968198416 is 61489186902.

The square root of 20968198416 is 144804.

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

20968198416 is a `hidden beast` number, since 209 + 6 + 8 + 19 + 8 + 416 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5962928400 + 15005270016 = 77220^2 + 122496^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19113580 + ... + 19114676.

Almost surely, 2^20968198416 is an apocalyptic number.

20968198416 is the 144804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20968198416

20968198416 is an abundant number, since it is smaller than the sum of its proper divisors (43592172277).

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

20968198416 is a wasteful number, since it uses less digits than its factorization.

20968198416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 20968198416 in words is "twenty billion, nine hundred sixty-eight million, one hundred ninety-eight thousand, four hundred sixteen".