206247040169472 has 320 divisors, whose sum is σ = 637442428930560. Its totient is φ = 65719343112192.

The previous prime is 206247040169447. The next prime is 206247040169503. The reversal of 206247040169472 is 274961040742602.

206247040169472 is a `hidden beast` number, since 2 + 0 + 6 + 2 + 4 + 7 + 0 + 4 + 0 + 169 + 472 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 517108558 + ... + 517507250.

It is an arithmetic number, because the mean of its divisors is an integer number (1992007590408).

Almost surely, 2^{206247040169472} 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 206247040169472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318721214465280).

206247040169472 is an abundant number, since it is smaller than the sum of its proper divisors (431195388761088).

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

206247040169472 is a wasteful number, since it uses less digits than its factorization.

206247040169472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400370 (or 400348 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 206247040169472 in words is "two hundred six trillion, two hundred forty-seven billion, forty million, one hundred sixty-nine thousand, four hundred seventy-two".