202142816832 has 168 divisors, whose sum is σ = 588286774656. Its totient is φ = 61212800000.

The previous prime is 202142816779. The next prime is 202142816867. The reversal of 202142816832 is 238618241202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54616582 + ... + 54620282.

It is an arithmetic number, because the mean of its divisors is an integer number (3501706992).

Almost surely, 2^202142816832 is an apocalyptic number.

202142816832 is a gapful number since it is divisible by the number (22) 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 202142816832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294143387328).

202142816832 is an abundant number, since it is smaller than the sum of its proper divisors (386143957824).

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

202142816832 is a wasteful number, since it uses less digits than its factorization.

202142816832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6089 (or 6068 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 202142816832 in words is "two hundred two billion, one hundred forty-two million, eight hundred sixteen thousand, eight hundred thirty-two".