11945325352401 has 27 divisors (see below), whose sum is σ = 20071518975963. Its totient is φ = 6825858726960.

The previous prime is 11945325352381. The next prime is 11945325352421. The reversal of 11945325352401 is 10425352354911.

The square root of 11945325352401 is 3456201.

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

11945325352401 is a `hidden beast` number, since 1 + 1 + 9 + 45 + 32 + 53 + 524 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (11945325352381) and next prime (11945325352421).

It can be written as a sum of positive squares in only one way, i.e., 4708687342401 + 7236638010000 = 2169951^2 + 2690100^2 .

It is not a de Polignac number, because 11945325352401 - 2⁵ = 11945325352369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11945325352421) 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, 72497931 + ... + 72662511.

Almost surely, 2^{11945325352401} is an apocalyptic number.

11945325352401 is the 3456201-st square number.

11945325352401 is the 1728101-st centered octagonal number.

It is an amenable number.

11945325352401 is a deficient number, since it is larger than the sum of its proper divisors (8126193623562).

11945325352401 is an frugal number, since it uses more digits than its factorization.

11945325352401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329182 (or 164591 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 11945325352401 in words is "eleven trillion, nine hundred forty-five billion, three hundred twenty-five million, three hundred fifty-two thousand, four hundred one".