6211351774656 has 448 divisors, whose sum is σ = 21456423797760. Its totient is φ = 1724808867840.

The previous prime is 6211351774631. The next prime is 6211351774673. The reversal of 6211351774656 is 6564771531126.

6211351774656 is a `hidden beast` number, since 6 + 2 + 1 + 1 + 3 + 5 + 177 + 465 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 434565846 + ... + 434580138.

It is an arithmetic number, because the mean of its divisors is an integer number (47893803120).

Almost surely, 2^{6211351774656} 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 6211351774656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10728211898880).

6211351774656 is an abundant number, since it is smaller than the sum of its proper divisors (15245072023104).

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

6211351774656 is a wasteful number, since it uses less digits than its factorization.

6211351774656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15329 (or 15313 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The spelling of 6211351774656 in words is "six trillion, two hundred eleven billion, three hundred fifty-one million, seven hundred seventy-four thousand, six hundred fifty-six".