204632869248 has 384 divisors, whose sum is σ = 619277218560. Its totient is φ = 64802304000.

The previous prime is 204632869237. The next prime is 204632869277. The reversal of 204632869248 is 842968236402.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×204632869248² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 204632869194 and 204632869203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 291915298 + ... + 291915998.

It is an arithmetic number, because the mean of its divisors is an integer number (1612701090).

Almost surely, 2^204632869248 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 204632869248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309638609280).

204632869248 is an abundant number, since it is smaller than the sum of its proper divisors (414644349312).

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

204632869248 is a wasteful number, since it uses less digits than its factorization.

204632869248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 204632869248 in words is "two hundred four billion, six hundred thirty-two million, eight hundred sixty-nine thousand, two hundred forty-eight".