204879506414352 has 160 divisors (see below), whose sum is σ = 661446534712320. Its totient is φ = 53088449948160.

The previous prime is 204879506414351. The next prime is 204879506414417. The reversal of 204879506414352 is 253414605978402.

It is a super-2 number, since 2×204879506414352² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (204879506414351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64600263 + ... + 67697510.

It is an arithmetic number, because the mean of its divisors is an integer number (4134040841952).

It is a 1-persistent number, because it is pandigital, but 2⋅204879506414352 = 409759012828704 is not.

Almost surely, 2^{204879506414352} is an apocalyptic number.

204879506414352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

204879506414352 is an abundant number, since it is smaller than the sum of its proper divisors (456567028297968).

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

204879506414352 is a wasteful number, since it uses less digits than its factorization.

204879506414352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132298221 (or 132298215 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 60.

The spelling of 204879506414352 in words is "two hundred four trillion, eight hundred seventy-nine billion, five hundred six million, four hundred fourteen thousand, three hundred fifty-two".