24769246401 has 12 divisors (see below), whose sum is σ = 36650430180. Its totient is φ = 16110078720.

The previous prime is 24769246387. The next prime is 24769246409. The reversal of 24769246401 is 10464296742.

It can be written as a sum of positive squares in 2 ways, for example, as 564110001 + 24205136400 = 23751^2 + 155580^2 .

It is not a de Polignac number, because 24769246401 - 2²⁷ = 24635028673 is a prime.

It is a super-2 number, since 2×24769246401² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (24769246409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33562296 + ... + 33563033.

It is an arithmetic number, because the mean of its divisors is an integer number (3054202515).

Almost surely, 2^24769246401 is an apocalyptic number.

It is an amenable number.

24769246401 is a deficient number, since it is larger than the sum of its proper divisors (11881183779).

24769246401 is a wasteful number, since it uses less digits than its factorization.

24769246401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67125376 (or 67125373 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 24769246401 in words is "twenty-four billion, seven hundred sixty-nine million, two hundred forty-six thousand, four hundred one".