948771454401 has 81 divisors (see below), whose sum is σ = 1482106951273. Its totient is φ = 584741095680.

The previous prime is 948771454387. The next prime is 948771454429. The reversal of 948771454401 is 104454177849.

The square root of 948771454401 is 974049.

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

948771454401 is a `hidden beast` number, since 9 + 4 + 87 + 7 + 14 + 544 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 49544082225 + 899227372176 = 222585^2 + 948276^2 .

It is not a de Polignac number, because 948771454401 - 2³⁵ = 914411716033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (948771454451) 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, 3527031295 + ... + 3527031563.

Almost surely, 2^948771454401 is an apocalyptic number.

948771454401 is the 974049-th square number.

948771454401 is the 487025-th centered octagonal number.

It is an amenable number.

948771454401 is a deficient number, since it is larger than the sum of its proper divisors (533335496872).

948771454401 is an equidigital number, since it uses as much as digits as its factorization.

948771454401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 948771454401 in words is "nine hundred forty-eight billion, seven hundred seventy-one million, four hundred fifty-four thousand, four hundred one".