6226353504 has 288 divisors, whose sum is σ = 21709658880. Its totient is φ = 1652990976.

The previous prime is 6226353499. The next prime is 6226353527. The reversal of 6226353504 is 4053536226.

6226353504 is a `hidden beast` number, since 62 + 2 + 63 + 535 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2028579 + ... + 2031645.

It is an arithmetic number, because the mean of its divisors is an integer number (75380760).

Almost surely, 2^6226353504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6226353504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10854829440).

6226353504 is an abundant number, since it is smaller than the sum of its proper divisors (15483305376).

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

6226353504 is a wasteful number, since it uses less digits than its factorization.

6226353504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3162 (or 3151 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 6226353504 is about 78907.2462071767. The cubic root of 6226353504 is about 1839.6897618091.

The spelling of 6226353504 in words is "six billion, two hundred twenty-six million, three hundred fifty-three thousand, five hundred four".