10048779540361 has 3 divisors (see below), whose sum is σ = 10048782710343. Its totient is φ = 10048776370380.

The previous prime is 10048779540347. The next prime is 10048779540377. The reversal of 10048779540361 is 16304597784001.

The square root of 10048779540361 is 3169981.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 9366470499961 + 682309040400 = 3060469^2 + 826020^2 .

It is not a de Polignac number, because 10048779540361 - 2⁹ = 10048779539849 is a prime.

It is a super-3 number, since 3×10048779540361³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10048779540341) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1584991 + ... + 4754971.

It is an arithmetic number, because the mean of its divisors is an integer number (3349594236781).

Almost surely, 2^{10048779540361} is an apocalyptic number.

10048779540361 is the 3169981-st square number.

10048779540361 is the 1584991-st centered octagonal number.

It is an amenable number.

10048779540361 is a deficient number, since it is larger than the sum of its proper divisors (3169982).

10048779540361 is an frugal number, since it uses more digits than its factorization.

10048779540361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6339962 (or 3169981 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 55.

The spelling of 10048779540361 in words is "ten trillion, forty-eight billion, seven hundred seventy-nine million, five hundred forty thousand, three hundred sixty-one".