1228013672256 has 672 divisors, whose sum is σ = 4335765857280. Its totient is φ = 324344217600.

The previous prime is 1228013672183. The next prime is 1228013672269. The reversal of 1228013672256 is 6522763108221.

1228013672256 is a `hidden beast` number, since 1 + 2 + 280 + 1 + 367 + 2 + 2 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1305008746 + ... + 1305009686.

Almost surely, 2^{1228013672256} is an apocalyptic number.

1228013672256 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 1228013672256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167882928640).

1228013672256 is an abundant number, since it is smaller than the sum of its proper divisors (3107752185024).

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

1228013672256 is a wasteful number, since it uses less digits than its factorization.

1228013672256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1228013672256 in words is "one trillion, two hundred twenty-eight billion, thirteen million, six hundred seventy-two thousand, two hundred fifty-six".