206848074397136 has 160 divisors (see below), whose sum is σ = 434789689178880. Its totient is φ = 95007472128000.

The previous prime is 206848074397121. The next prime is 206848074397141. The reversal of 206848074397136 is 631793470848602.

206848074397136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×206848074397136² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7467156086 + ... + 7467183786.

It is an arithmetic number, because the mean of its divisors is an integer number (2717435557368).

Almost surely, 2^{206848074397136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206848074397136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217394844589440).

206848074397136 is an abundant number, since it is smaller than the sum of its proper divisors (227941614781744).

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

206848074397136 is a wasteful number, since it uses less digits than its factorization.

206848074397136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31405 (or 31399 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 68.

The spelling of 206848074397136 in words is "two hundred six trillion, eight hundred forty-eight billion, seventy-four million, three hundred ninety-seven thousand, one hundred thirty-six".