202081951344 has 800 divisors, whose sum is σ = 715765299200. Its totient is φ = 48649144320.

The previous prime is 202081951273. The next prime is 202081951367. The reversal of 202081951344 is 443159180202.

202081951344 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 159 ways as a sum of consecutive naturals, for example, 882453822 + ... + 882454050.

It is an arithmetic number, because the mean of its divisors is an integer number (894706624).

Almost surely, 2^202081951344 is an apocalyptic number.

202081951344 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 202081951344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357882649600).

202081951344 is an abundant number, since it is smaller than the sum of its proper divisors (513683347856).

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

202081951344 is a wasteful number, since it uses less digits than its factorization.

202081951344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 202081951344 in words is "two hundred two billion, eighty-one million, nine hundred fifty-one thousand, three hundred forty-four".