726415357456523 has 16 divisors (see below), whose sum is σ = 832164062400000. Its totient is φ = 621160843494912.

The previous prime is 726415357456441. The next prime is 726415357456603. The reversal of 726415357456523 is 325654753514627.

It is a happy number.

It is not a de Polignac number, because 726415357456523 - 2³⁸ = 726140479549579 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 726415357456523.

It is not an unprimeable number, because it can be changed into a prime (726415357416523) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3228788 + ... + 38252526.

It is an arithmetic number, because the mean of its divisors is an integer number (52010253900000).

Almost surely, 2^{726415357456523} is an apocalyptic number.

726415357456523 is a deficient number, since it is larger than the sum of its proper divisors (105748704943477).

726415357456523 is a wasteful number, since it uses less digits than its factorization.

726415357456523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35030794.

The product of its digits is 635040000, while the sum is 65.

The spelling of 726415357456523 in words is "seven hundred twenty-six trillion, four hundred fifteen billion, three hundred fifty-seven million, four hundred fifty-six thousand, five hundred twenty-three".