71485672829 has 18 divisors (see below), whose sum is σ = 74716654590. Its totient is φ = 68313052080.

The previous prime is 71485672781. The next prime is 71485672927. The reversal of 71485672829 is 92827658417.

It can be written as a sum of positive squares in only one way, i.e., 61625580025 + 9860092804 = 248245^2 + 99298^2 .

It is not a de Polignac number, because 71485672829 - 2¹⁶ = 71485607293 is a prime.

It is a super-2 number, since 2×71485672829² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71485672429) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 188616362 + ... + 188616740.

It is an arithmetic number, because the mean of its divisors is an integer number (4150925255).

Almost surely, 2^71485672829 is an apocalyptic number.

It is an amenable number.

71485672829 is a deficient number, since it is larger than the sum of its proper divisors (3230981761).

71485672829 is an frugal number, since it uses more digits than its factorization.

71485672829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 539 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 59.

The spelling of 71485672829 in words is "seventy-one billion, four hundred eighty-five million, six hundred seventy-two thousand, eight hundred twenty-nine".