1226257428816 has 320 divisors, whose sum is σ = 4123377753600. Its totient is φ = 341596569600.

The previous prime is 1226257428791. The next prime is 1226257428817. The reversal of 1226257428816 is 6188247526221.

1226257428816 is a `hidden beast` number, since 1 + 2 + 2 + 62 + 574 + 2 + 8 + 8 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1226257428817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 386952480 + ... + 386955648.

It is an arithmetic number, because the mean of its divisors is an integer number (12885555480).

Almost surely, 2^{1226257428816} is an apocalyptic number.

1226257428816 is a gapful number since it is divisible by the number (16) 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 1226257428816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061688876800).

1226257428816 is an abundant number, since it is smaller than the sum of its proper divisors (2897120324784).

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

1226257428816 is a wasteful number, since it uses less digits than its factorization.

1226257428816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6355 (or 6343 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 1226257428816 in words is "one trillion, two hundred twenty-six billion, two hundred fifty-seven million, four hundred twenty-eight thousand, eight hundred sixteen".