1838168064 has 144 divisors (see below), whose sum is σ = 5481927360. Its totient is φ = 592773120.

The previous prime is 1838168051. The next prime is 1838168107. The reversal of 1838168064 is 4608618381.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 569784 + ... + 573000.

It is an arithmetic number, because the mean of its divisors is an integer number (38068940).

Almost surely, 2^1838168064 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 1838168064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740963680).

1838168064 is an abundant number, since it is smaller than the sum of its proper divisors (3643759296).

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

1838168064 is a wasteful number, since it uses less digits than its factorization.

1838168064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3276 (or 3253 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1838168064 is about 42873.8622472947. The cubic root of 1838168064 is about 1224.9783284240.

The spelling of 1838168064 in words is "one billion, eight hundred thirty-eight million, one hundred sixty-eight thousand, sixty-four".