948616401 has 16 divisors (see below), whose sum is σ = 1332187200. Its totient is φ = 598768128.

The previous prime is 948616381. The next prime is 948616433. The reversal of 948616401 is 104616849.

948616401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 948616401 - 2¹⁵ = 948583633 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 948616401.

It is not an unprimeable number, because it can be changed into a prime (948616601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117445 + ... + 125261.

It is an arithmetic number, because the mean of its divisors is an integer number (83261700).

Almost surely, 2^948616401 is an apocalyptic number.

It is an amenable number.

948616401 is a deficient number, since it is larger than the sum of its proper divisors (383570799).

948616401 is a wasteful number, since it uses less digits than its factorization.

948616401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9968.

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 948616401 is about 30799.6168969681. The cubic root of 948616401 is about 982.5700972331.

The spelling of 948616401 in words is "nine hundred forty-eight million, six hundred sixteen thousand, four hundred one".