15828923759364 has 243 divisors, whose sum is σ = 42658131671701. Its totient is φ = 5139023797440.

The previous prime is 15828923759353. The next prime is 15828923759393. The reversal of 15828923759364 is 46395732982851.

The square root of 15828923759364 is 3978558.

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

15828923759364 is a `hidden beast` number, since 1 + 5 + 8 + 2 + 8 + 9 + 23 + 7 + 593 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 762726248964 + 15066197510400 = 873342^2 + 3881520^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 15828923759292 and 15828923759301.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 26425581937 + ... + 26425582535.

Almost surely, 2^{15828923759364} is an apocalyptic number.

15828923759364 is the 3978558-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15828923759364

15828923759364 is an abundant number, since it is smaller than the sum of its proper divisors (26829207912337).

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

15828923759364 is an frugal number, since it uses more digits than its factorization.

15828923759364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 645 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 72.

The spelling of 15828923759364 in words is "fifteen trillion, eight hundred twenty-eight billion, nine hundred twenty-three million, seven hundred fifty-nine thousand, three hundred sixty-four".