1213169664 has 256 divisors, whose sum is σ = 3875477760. Its totient is φ = 330301440.

The previous prime is 1213169599. The next prime is 1213169693. The reversal of 1213169664 is 4669613121.

It is a tau number, because it is divible by the number of its divisors (256).

Its product of digits (46656) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28213227 + ... + 28213269.

It is an arithmetic number, because the mean of its divisors is an integer number (15138585).

Almost surely, 2^1213169664 is an apocalyptic number.

1213169664 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 1213169664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937738880).

1213169664 is an abundant number, since it is smaller than the sum of its proper divisors (2662308096).

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

1213169664 is an frugal number, since it uses more digits than its factorization.

1213169664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 96 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 1213169664 is about 34830.5851802694. The cubic root of 1213169664 is about 1066.5318940834.

The spelling of 1213169664 in words is "one billion, two hundred thirteen million, one hundred sixty-nine thousand, six hundred sixty-four".