9948151256761 has 9 divisors (see below), whose sum is σ = 10303114642093. Its totient is φ = 9605023244320.

The previous prime is 9948151256647. The next prime is 9948151256837. The reversal of 9948151256761 is 1676521518499.

The square root of 9948151256761 is 3154069.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2028542184361 + 7919609072400 = 1424269^2 + 2814180^2 .

It is not a de Polignac number, because 9948151256761 - 2⁷ = 9948151256633 is a prime.

It is a super-2 number, since 2×9948151256761² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9948151256693 and 9948151256702.

It is not an unprimeable number, because it can be changed into a prime (9948151256261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 91413621 + ... + 91522381.

Almost surely, 2^{9948151256761} is an apocalyptic number.

9948151256761 is the 3154069-th square number.

9948151256761 is the 1577035-th centered octagonal number.

It is an amenable number.

9948151256761 is a deficient number, since it is larger than the sum of its proper divisors (354963385332).

9948151256761 is an frugal number, since it uses more digits than its factorization.

9948151256761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217580 (or 108790 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 64.

Multiplying 9948151256761 by its sum of digits (64), we get a square (636681680432704 = 25232552²).

The spelling of 9948151256761 in words is "nine trillion, nine hundred forty-eight billion, one hundred fifty-one million, two hundred fifty-six thousand, seven hundred sixty-one".