6226801371648 has 400 divisors, whose sum is σ = 21834572560416. Its totient is φ = 1741760962560.

The previous prime is 6226801371643. The next prime is 6226801371653. The reversal of 6226801371648 is 8461731086226.

It is a happy number.

6226801371648 is a `hidden beast` number, since 6 + 2 + 268 + 0 + 1 + 371 + 6 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (6226801371643) and next prime (6226801371653).

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 = 6226801371594 and 6226801371603.

It is not an unprimeable number, because it can be changed into a prime (6226801371643) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5405515 + ... + 6455477.

Almost surely, 2^{6226801371648} 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 6226801371648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10917286280208).

6226801371648 is an abundant number, since it is smaller than the sum of its proper divisors (15607771188768).

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

6226801371648 is a wasteful number, since it uses less digits than its factorization.

6226801371648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050017 (or 1049992 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 6226801371648 in words is "six trillion, two hundred twenty-six billion, eight hundred one million, three hundred seventy-one thousand, six hundred forty-eight".