24253645190401 has 27 divisors (see below), whose sum is σ = 27033567187977. Its totient is φ = 21743184576960.

The previous prime is 24253645190399. The next prime is 24253645190461. The reversal of 24253645190401 is 10409154635242.

The square root of 24253645190401 is 4924799.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9453159010801 + 14800486179600 = 3074599^2 + 3847140^2 .

It is not a de Polignac number, because 24253645190401 - 2¹ = 24253645190399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (24253645190461) 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, 3954610531 + ... + 3954616663.

Almost surely, 2^{24253645190401} is an apocalyptic number.

24253645190401 is the 4924799-th square number.

24253645190401 is the 2462400-th centered octagonal number.

It is an amenable number.

24253645190401 is a deficient number, since it is larger than the sum of its proper divisors (2779921997576).

24253645190401 is an frugal number, since it uses more digits than its factorization.

24253645190401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12434 (or 6217 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 24253645190401 in words is "twenty-four trillion, two hundred fifty-three billion, six hundred forty-five million, one hundred ninety thousand, four hundred one".