71426988162816 has 864 divisors, whose sum is σ = 237215880384000. Its totient is φ = 18900363018240.

The previous prime is 71426988162811. The next prime is 71426988162853. The reversal of 71426988162816 is 61826188962417.

It is a super-2 number, since 2×71426988162816² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71426988162811) 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 95 ways as a sum of consecutive naturals, for example, 19257746370 + ... + 19257750078.

Almost surely, 2^{71426988162816} is an apocalyptic number.

71426988162816 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71426988162816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118607940192000).

71426988162816 is an abundant number, since it is smaller than the sum of its proper divisors (165788892221184).

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

71426988162816 is a wasteful number, since it uses less digits than its factorization.

71426988162816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4621 (or 4596 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 69.

The spelling of 71426988162816 in words is "seventy-one trillion, four hundred twenty-six billion, nine hundred eighty-eight million, one hundred sixty-two thousand, eight hundred sixteen".