904162102144 has 128 divisors (see below), whose sum is σ = 2125741363200. Its totient is φ = 374865408000.

The previous prime is 904162102139. The next prime is 904162102163. The reversal of 904162102144 is 441201261409.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 138015669 + ... + 138022219.

It is an arithmetic number, because the mean of its divisors is an integer number (16607354400).

Almost surely, 2^904162102144 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 904162102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062870681600).

904162102144 is an abundant number, since it is smaller than the sum of its proper divisors (1221579261056).

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

904162102144 is a wasteful number, since it uses less digits than its factorization.

904162102144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11572 (or 11560 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 904162102144 in words is "nine hundred four billion, one hundred sixty-two million, one hundred two thousand, one hundred forty-four".