1228385664 has 384 divisors, whose sum is σ = 4124390400. Its totient is φ = 347443200.

The previous prime is 1228385659. The next prime is 1228385699. The reversal of 1228385664 is 4665838221.

1228385664 is a `hidden beast` number, since 1 + 2 + 2 + 83 + 8 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20820067 + ... + 20820125.

It is an arithmetic number, because the mean of its divisors is an integer number (10740600).

Almost surely, 2^1228385664 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 1228385664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062195200).

1228385664 is an abundant number, since it is smaller than the sum of its proper divisors (2896004736).

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

1228385664 is a wasteful number, since it uses less digits than its factorization.

1228385664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 159 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 1228385664 is about 35048.3332556628. Note that the first 3 decimals coincide. The cubic root of 1228385664 is about 1070.9723202392.

The spelling of 1228385664 in words is "one billion, two hundred twenty-eight million, three hundred eighty-five thousand, six hundred sixty-four".