15248775081024 has 315 divisors, whose sum is σ = 46522201518403. Its totient is φ = 4775432226816.

The previous prime is 15248775080983. The next prime is 15248775081037. The reversal of 15248775081024 is 42018057784251.

The square root of 15248775081024 is 3904968.

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

15248775081024 is a `hidden beast` number, since 1 + 5 + 2 + 48 + 77 + 508 + 1 + 0 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4732504386624 + 10516270694400 = 2175432^2 + 3242880^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 27084857767 + ... + 27084858329.

Almost surely, 2^{15248775081024} is an apocalyptic number.

15248775081024 is the 3904968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15248775081024

15248775081024 is an abundant number, since it is smaller than the sum of its proper divisors (31273426437379).

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

15248775081024 is an frugal number, since it uses more digits than its factorization.

15248775081024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 54.

It can be divided in two parts, 152487 and 75081024, that added together give a triangular number (75233511 = T₁₂₂₆₆).

The spelling of 15248775081024 in words is "fifteen trillion, two hundred forty-eight billion, seven hundred seventy-five million, eighty-one thousand, twenty-four".