202121945952 has 48 divisors (see below), whose sum is σ = 544909850352. Its totient is φ = 65553062400.

The previous prime is 202121945951. The next prime is 202121945957. The reversal of 202121945952 is 259549121202.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202121945951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28448299 + ... + 28455402.

It is an arithmetic number, because the mean of its divisors is an integer number (11352288549).

Almost surely, 2^202121945952 is an apocalyptic number.

It is an amenable number.

202121945952 is an abundant number, since it is smaller than the sum of its proper divisors (342787904400).

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

202121945952 is a wasteful number, since it uses less digits than its factorization.

202121945952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56903751 (or 56903743 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 202121945952 in words is "two hundred two billion, one hundred twenty-one million, nine hundred forty-five thousand, nine hundred fifty-two".