6413817205152 has 192 divisors, whose sum is σ = 21403620725760. Its totient is φ = 1830442344192.

The previous prime is 6413817205069. The next prime is 6413817205171. The reversal of 6413817205152 is 2515027183146.

6413817205152 is a `hidden beast` number, since 6 + 413 + 8 + 17 + 205 + 15 + 2 = 666.

It is a super-2 number, since 2×6413817205152² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6413817205098 and 6413817205107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4739883 + ... + 5940885.

It is an arithmetic number, because the mean of its divisors is an integer number (111477191280).

Almost surely, 2^{6413817205152} 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 6413817205152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10701810362880).

6413817205152 is an abundant number, since it is smaller than the sum of its proper divisors (14989803520608).

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

6413817205152 is a wasteful number, since it uses less digits than its factorization.

6413817205152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201912 (or 1201898 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 6413817205152 in words is "six trillion, four hundred thirteen billion, eight hundred seventeen million, two hundred five thousand, one hundred fifty-two".