206064453504 has 512 divisors, whose sum is σ = 691362201600. Its totient is φ = 52937515008.

The previous prime is 206064453451. The next prime is 206064453527. The reversal of 206064453504 is 405354460602.

206064453504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 63 ways as a sum of consecutive naturals, for example, 261834999 + ... + 261835785.

It is an arithmetic number, because the mean of its divisors is an integer number (1350316800).

Almost surely, 2^206064453504 is an apocalyptic number.

206064453504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206064453504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345681100800).

206064453504 is an abundant number, since it is smaller than the sum of its proper divisors (485297748096).

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

206064453504 is a wasteful number, since it uses less digits than its factorization.

206064453504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

The spelling of 206064453504 in words is "two hundred six billion, sixty-four million, four hundred fifty-three thousand, five hundred four".