424649025801 has 405 divisors, whose sum is σ = 880052214951. Its totient is φ = 197059262400.

The previous prime is 424649025799. The next prime is 424649025817. The reversal of 424649025801 is 108520946424.

It is a happy number.

The square root of 424649025801 is 651651.

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

424649025801 is a `hidden beast` number, since 4 + 2 + 4 + 64 + 9 + 0 + 2 + 580 + 1 = 666.

424649025801 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 62817903225 + 361831122576 = 250635^2 + 601524^2 .

It is not a de Polignac number, because 424649025801 - 2¹ = 424649025799 is a prime.

It is a super-2 number, since 2×424649025801² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (424649020801) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 13698355656 + ... + 13698355686.

Almost surely, 2^424649025801 is an apocalyptic number.

424649025801 is the 651651-st square number.

424649025801 is the 325826-th centered octagonal number.

It is an amenable number.

424649025801 is an abundant number, since it is smaller than the sum of its proper divisors (455403189150).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

424649025801 is a wasteful number, since it uses less digits than its factorization.

424649025801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 424649025801 in words is "four hundred twenty-four billion, six hundred forty-nine million, twenty-five thousand, eight hundred one".