6211384144416 has 384 divisors, whose sum is σ = 20742110484480. Its totient is φ = 1789983360000.

The previous prime is 6211384144397. The next prime is 6211384144423. The reversal of 6211384144416 is 6144414831126.

6211384144416 is a `hidden beast` number, since 6 + 2 + 1 + 13 + 84 + 144 + 416 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37734291 + ... + 37898541.

It is an arithmetic number, because the mean of its divisors is an integer number (54015912720).

Almost surely, 2^{6211384144416} is an apocalyptic number.

6211384144416 is a gapful number since it is divisible by the number (66) 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 6211384144416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10371055242240).

6211384144416 is an abundant number, since it is smaller than the sum of its proper divisors (14530726340064).

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

6211384144416 is a wasteful number, since it uses less digits than its factorization.

6211384144416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164477 (or 164463 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 6211384144416 in words is "six trillion, two hundred eleven billion, three hundred eighty-four million, one hundred forty-four thousand, four hundred sixteen".