10048525943481 has 45 divisors (see below), whose sum is σ = 15326130601301. Its totient is φ = 6344269198344.

The previous prime is 10048525943479. The next prime is 10048525943483. The reversal of 10048525943481 is 18434952584001.

The square root of 10048525943481 is 3169941.

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

10048525943481 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 8 + 5 + 2 + 594 + 3 + 48 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (10048525943479) and next prime (10048525943483).

It is not a de Polignac number, because 10048525943481 - 2¹ = 10048525943479 is a prime.

It is a super-2 number, since 2×10048525943481² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10048525943483) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3433044640 + ... + 3433047566.

Almost surely, 2^{10048525943481} is an apocalyptic number.

10048525943481 is the 3169941-st square number.

10048525943481 is the 1584971-st centered octagonal number.

It is an amenable number.

10048525943481 is a deficient number, since it is larger than the sum of its proper divisors (5277604657820).

10048525943481 is an frugal number, since it uses more digits than its factorization.

10048525943481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5936 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 10048525943481 in words is "ten trillion, forty-eight billion, five hundred twenty-five million, nine hundred forty-three thousand, four hundred eighty-one".