202052049243408 has 480 divisors, whose sum is σ = 732670679686400. Its totient is φ = 50477987856384.

The previous prime is 202052049243403. The next prime is 202052049243431. The reversal of 202052049243408 is 804342940250202.

202052049243408 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 5 + 204 + 9 + 2 + 434 + 0 + 8 = 666.

202052049243408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (202052049243403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2414278428 + ... + 2414362116.

Almost surely, 2^{202052049243408} is an apocalyptic number.

202052049243408 is a gapful number since it is divisible by the number (28) 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 202052049243408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366335339843200).

202052049243408 is an abundant number, since it is smaller than the sum of its proper divisors (530618630442992).

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

202052049243408 is a wasteful number, since it uses less digits than its factorization.

202052049243408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93439 (or 93430 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 202052049243408 in words is "two hundred two trillion, fifty-two billion, forty-nine million, two hundred forty-three thousand, four hundred eight".