202429112256 has 448 divisors, whose sum is σ = 700762997760. Its totient is φ = 56091709440.

The previous prime is 202429112251. The next prime is 202429112299. The reversal of 202429112256 is 652211924202.

202429112256 is a `hidden beast` number, since 2 + 0 + 2 + 429 + 1 + 1 + 225 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 202429112256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202429112251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 198265026 + ... + 198266046.

It is an arithmetic number, because the mean of its divisors is an integer number (1564203120).

Almost surely, 2^202429112256 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 202429112256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350381498880).

202429112256 is an abundant number, since it is smaller than the sum of its proper divisors (498333885504).

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

202429112256 is a wasteful number, since it uses less digits than its factorization.

202429112256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 202429112256 in words is "two hundred two billion, four hundred twenty-nine million, one hundred twelve thousand, two hundred fifty-six".