1226816293248 has 1536 divisors, whose sum is σ = 4817135232000. Its totient is φ = 290619850752.

The previous prime is 1226816293217. The next prime is 1226816293291. The reversal of 1226816293248 is 8423926186221.

1226816293248 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 8 + 1 + 629 + 3 + 2 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1226816293194 and 1226816293203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3870082786 + ... + 3870083102.

It is an arithmetic number, because the mean of its divisors is an integer number (3136155750).

Almost surely, 2^{1226816293248} is an apocalyptic number.

1226816293248 is a gapful number since it is divisible by the number (18) 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 1226816293248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408567616000).

1226816293248 is an abundant number, since it is smaller than the sum of its proper divisors (3590318938752).

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

1226816293248 is a wasteful number, since it uses less digits than its factorization.

1226816293248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 457 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 1226816293248 in words is "one trillion, two hundred twenty-six billion, eight hundred sixteen million, two hundred ninety-three thousand, two hundred forty-eight".