948409142769 has 81 divisors (see below), whose sum is σ = 1565051812779. Its totient is φ = 574267533840.

The previous prime is 948409142761. The next prime is 948409142777. The reversal of 948409142769 is 967241904849.

The square root of 948409142769 is 973863.

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

948409142769 is a `hidden beast` number, since 9 + 484 + 0 + 9 + 142 + 7 + 6 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (948409142761) and next prime (948409142777).

It can be written as a sum of positive squares in only one way, i.e., 934576560225 + 13832582544 = 966735^2 + 117612^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 948409142769 - 2³ = 948409142761 is a prime.

It is a super-2 number, since 2×948409142769² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (948409142761) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 867711387 + ... + 867712479.

Almost surely, 2^948409142769 is an apocalyptic number.

948409142769 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

948409142769 is the 973863-rd square number.

948409142769 is the 486932-nd centered octagonal number.

It is an amenable number.

948409142769 is a deficient number, since it is larger than the sum of its proper divisors (616642670010).

948409142769 is an frugal number, since it uses more digits than its factorization.

948409142769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 948409142769 in words is "nine hundred forty-eight billion, four hundred nine million, one hundred forty-two thousand, seven hundred sixty-nine".