94125626401 has 9 divisors (see below), whose sum is σ = 99993662899. Its totient is φ = 88583916064.

The previous prime is 94125626297. The next prime is 94125626411. The reversal of 94125626401 is 10462652149.

The square root of 94125626401 is 306799.

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., 73281197025 + 20844429376 = 270705^2 + 144376^2 .

It is not a de Polignac number, because 94125626401 - 2⁹ = 94125625889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (94125626411) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5206560 + ... + 5224606.

Almost surely, 2^94125626401 is an apocalyptic number.

94125626401 is the 306799-th square number.

94125626401 is the 153400-th centered octagonal number.

It is an amenable number.

94125626401 is a deficient number, since it is larger than the sum of its proper divisors (5868036498).

94125626401 is an frugal number, since it uses more digits than its factorization.

94125626401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36128 (or 18064 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 94125626401 in words is "ninety-four billion, one hundred twenty-five million, six hundred twenty-six thousand, four hundred one".