729085474845 has 240 divisors, whose sum is σ = 1642694906160. Its totient is φ = 306641147904.

The previous prime is 729085474823. The next prime is 729085474877. The reversal of 729085474845 is 548474580927.

It is a happy number.

729085474845 is a `hidden beast` number, since 7 + 2 + 9 + 0 + 8 + 547 + 4 + 84 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 43695213156 + 685390261689 = 209034^2 + 827883^2 .

It is not a de Polignac number, because 729085474845 - 2¹⁶ = 729085409309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 80744791 + ... + 80753819.

It is an arithmetic number, because the mean of its divisors is an integer number (6844562109).

Almost surely, 2^729085474845 is an apocalyptic number.

It is an amenable number.

729085474845 is an abundant number, since it is smaller than the sum of its proper divisors (913609431315).

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

729085474845 is a wasteful number, since it uses less digits than its factorization.

729085474845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9386 (or 9370 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 729085474845 in words is "seven hundred twenty-nine billion, eighty-five million, four hundred seventy-four thousand, eight hundred forty-five".