202196454768 has 1680 divisors, whose sum is σ = 838823811840. Its totient is φ = 45685555200.

The previous prime is 202196454703. The next prime is 202196454781. The reversal of 202196454768 is 867454691202.

202196454768 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 96 + 4 + 547 + 6 + 8 = 666.

202196454768 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 (54).

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 335 ways as a sum of consecutive naturals, for example, 4931620828 + ... + 4931620868.

It is an arithmetic number, because the mean of its divisors is an integer number (499299888).

Almost surely, 2^202196454768 is an apocalyptic number.

202196454768 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 202196454768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419411905920).

202196454768 is an abundant number, since it is smaller than the sum of its proper divisors (636627357072).

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

202196454768 is a wasteful number, since it uses less digits than its factorization.

202196454768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 202196454768 in words is "two hundred two billion, one hundred ninety-six million, four hundred fifty-four thousand, seven hundred sixty-eight".