2723467145104 has 80 divisors (see below), whose sum is σ = 5788147749120. Its totient is φ = 1235644139520.

The previous prime is 2723467145039. The next prime is 2723467145107. The reversal of 2723467145104 is 4015417643272.

It is a happy number.

2723467145104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2723467145107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5200777 + ... + 5700439.

It is an arithmetic number, because the mean of its divisors is an integer number (72351846864).

Almost surely, 2^{2723467145104} 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 2723467145104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2894073874560).

2723467145104 is an abundant number, since it is smaller than the sum of its proper divisors (3064680604016).

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

2723467145104 is a wasteful number, since it uses less digits than its factorization.

2723467145104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500408 (or 500402 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 46.

The spelling of 2723467145104 in words is "two trillion, seven hundred twenty-three billion, four hundred sixty-seven million, one hundred forty-five thousand, one hundred four".