71537814749016 has 960 divisors, whose sum is σ = 258257626482240. Its totient is φ = 18099143884800.

The previous prime is 71537814748987. The next prime is 71537814749033. The reversal of 71537814749016 is 61094741873517.

It is a happy number.

71537814749016 is a `hidden beast` number, since 7 + 1 + 5 + 3 + 78 + 1 + 474 + 90 + 1 + 6 = 666.

It is a super-2 number, since 2×71537814749016² (a number of 29 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 16494767200 + ... + 16494771536.

It is an arithmetic number, because the mean of its divisors is an integer number (269018360919).

Almost surely, 2^{71537814749016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71537814749016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129128813241120).

71537814749016 is an abundant number, since it is smaller than the sum of its proper divisors (186719811733224).

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

71537814749016 is a wasteful number, since it uses less digits than its factorization.

71537814749016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5158 (or 5134 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 71537814749016 in words is "seventy-one trillion, five hundred thirty-seven billion, eight hundred fourteen million, seven hundred forty-nine thousand, sixteen".