2456632052401 has 8 divisors (see below), whose sum is σ = 2485344255464. Its totient is φ = 2427988953600.

The previous prime is 2456632052383. The next prime is 2456632052503. The reversal of 2456632052401 is 1042502366542.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 570363290176 + 1886268762225 = 755224^2 + 1373415^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2456632052401 - 2⁹ = 2456632051889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2456632052101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17204550 + ... + 17346751.

It is an arithmetic number, because the mean of its divisors is an integer number (310668031933).

Almost surely, 2^{2456632052401} is an apocalyptic number.

It is an amenable number.

2456632052401 is a deficient number, since it is larger than the sum of its proper divisors (28712203063).

2456632052401 is an equidigital number, since it uses as much as digits as its factorization.

2456632052401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34552131.

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 2456632052401 in words is "two trillion, four hundred fifty-six billion, six hundred thirty-two million, fifty-two thousand, four hundred one".