85144746404291 has 32 divisors (see below), whose sum is σ = 100805248051200. Its totient is φ = 70365631190400.

The previous prime is 85144746404287. The next prime is 85144746404303. The reversal of 85144746404291 is 19240464744158.

It is not a de Polignac number, because 85144746404291 - 2² = 85144746404287 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85144746404291.

It is not an unprimeable number, because it can be changed into a prime (85144746404281) 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 31 ways as a sum of consecutive naturals, for example, 417973220 + ... + 418176878.

It is an arithmetic number, because the mean of its divisors is an integer number (3150164001600).

Almost surely, 2^{85144746404291} is an apocalyptic number.

85144746404291 is a deficient number, since it is larger than the sum of its proper divisors (15660501646909).

85144746404291 is a wasteful number, since it uses less digits than its factorization.

85144746404291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206579.

The product of its (nonzero) digits is 30965760, while the sum is 59.

The spelling of 85144746404291 in words is "eighty-five trillion, one hundred forty-four billion, seven hundred forty-six million, four hundred four thousand, two hundred ninety-one".