94401948001 has 27 divisors (see below), whose sum is σ = 101253565971. Its totient is φ = 88001029584.

The previous prime is 94401947947. The next prime is 94401948013. The reversal of 94401948001 is 10084910449.

The square root of 94401948001 is 307249.

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

It can be written as a sum of positive squares in only one way, i.e., 27670659025 + 66731288976 = 166345^2 + 258324^2 .

It is not a de Polignac number, because 94401948001 - 2⁷ = 94401947873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (94401948031) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 601286215 + ... + 601286371.

It is an arithmetic number, because the mean of its divisors is an integer number (3750132073).

Almost surely, 2^94401948001 is an apocalyptic number.

94401948001 is the 307249-th square number.

94401948001 is the 153625-th centered octagonal number.

It is an amenable number.

94401948001 is a deficient number, since it is larger than the sum of its proper divisors (6851617970).

94401948001 is an equidigital number, since it uses as much as digits as its factorization.

94401948001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The spelling of 94401948001 in words is "ninety-four billion, four hundred one million, nine hundred forty-eight thousand, one".