71681665106150 has 48 divisors (see below), whose sum is σ = 151772467868928. Its totient is φ = 24932753076000.

The previous prime is 71681665106131. The next prime is 71681665106159. The reversal of 71681665106150 is 5160156618617.

It is a super-3 number, since 3×71681665106150³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 71681665106092 and 71681665106101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71681665106159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2833254746 + ... + 2833280045.

It is an arithmetic number, because the mean of its divisors is an integer number (3161926413936).

Almost surely, 2^{71681665106150} is an apocalyptic number.

71681665106150 is an abundant number, since it is smaller than the sum of its proper divisors (80090802762778).

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

71681665106150 is a wasteful number, since it uses less digits than its factorization.

71681665106150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5666534837 (or 5666534832 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 53.

The spelling of 71681665106150 in words is "seventy-one trillion, six hundred eighty-one billion, six hundred sixty-five million, one hundred six thousand, one hundred fifty".