426561053456144 has 20 divisors (see below), whose sum is σ = 826605999103500. Its totient is φ = 213243376268160.

The previous prime is 426561053456107. The next prime is 426561053456261. The reversal of 426561053456144 is 441654350165624.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 320715804931600 + 105845248524544 = 17908540^2 + 10288112^2 .

It is a super-3 number, since 3×426561053456144³ (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 426561053456144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2321809019 + ... + 2321992730.

It is an arithmetic number, because the mean of its divisors is an integer number (41330299955175).

Almost surely, 2^{426561053456144} is an apocalyptic number.

It is an amenable number.

426561053456144 is a deficient number, since it is larger than the sum of its proper divisors (400044945647356).

426561053456144 is a wasteful number, since it uses less digits than its factorization.

426561053456144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4643807498 (or 4643807492 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 56.

The spelling of 426561053456144 in words is "four hundred twenty-six trillion, five hundred sixty-one billion, fifty-three million, four hundred fifty-six thousand, one hundred forty-four".