15828478164004 has 81 divisors (see below), whose sum is σ = 30638199679731. Its totient is φ = 7149845514240.

The previous prime is 15828478163987. The next prime is 15828478164043. The reversal of 15828478164004 is 40046187482851.

It is a happy number.

The square root of 15828478164004 is 3978502.

It is a perfect power (a square), and thus also a powerful number.

15828478164004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8534589645604 + 7293888518400 = 2921402^2 + 2700720^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 15828478164004.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16892719024 + ... + 16892719960.

Almost surely, 2^{15828478164004} is an apocalyptic number.

15828478164004 is the 3978502-nd square number.

It is an amenable number.

15828478164004 is a deficient number, since it is larger than the sum of its proper divisors (14809721515727).

15828478164004 is an frugal number, since it uses more digits than its factorization.

15828478164004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2286 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 58.

The spelling of 15828478164004 in words is "fifteen trillion, eight hundred twenty-eight billion, four hundred seventy-eight million, one hundred sixty-four thousand, four".