1226473625664 has 1008 divisors, whose sum is σ = 4640052817920. Its totient is φ = 302201487360.

The previous prime is 1226473625593. The next prime is 1226473625717. The reversal of 1226473625664 is 4665263746221.

1226473625664 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 4 + 7 + 3 + 625 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a self number, because there is not a number n which added to its sum of digits gives 1226473625664.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 686330179 + ... + 686331965.

Almost surely, 2^{1226473625664} is an apocalyptic number.

1226473625664 is a gapful number since it is divisible by the number (14) 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 1226473625664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320026408960).

1226473625664 is an abundant number, since it is smaller than the sum of its proper divisors (3413579192256).

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

1226473625664 is a wasteful number, since it uses less digits than its factorization.

1226473625664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1866 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 1226473625664 in words is "one trillion, two hundred twenty-six billion, four hundred seventy-three million, six hundred twenty-five thousand, six hundred sixty-four".