6413638363146 has 128 divisors (see below), whose sum is σ = 16399773696000. Its totient is φ = 1819966579200.

The previous prime is 6413638363127. The next prime is 6413638363157.

6413638363146 is a `hidden beast` number, since 6 + 4 + 1 + 363 + 83 + 63 + 146 = 666.

6413638363146 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6413638363146² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6413638363092 and 6413638363101.

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 63 ways as a sum of consecutive naturals, for example, 421970055 + ... + 421985253.

It is an arithmetic number, because the mean of its divisors is an integer number (128123232000).

Almost surely, 2^{6413638363146} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6413638363146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8199886848000).

6413638363146 is an abundant number, since it is smaller than the sum of its proper divisors (9986135332854).

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

6413638363146 is a wasteful number, since it uses less digits than its factorization.

6413638363146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22761 (or 22755 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 54.

The spelling of 6413638363146 in words is "six trillion, four hundred thirteen billion, six hundred thirty-eight million, three hundred sixty-three thousand, one hundred forty-six".