71482369040544 has 192 divisors, whose sum is σ = 234043584509952. Its totient is φ = 18558810547200.

The previous prime is 71482369040527. The next prime is 71482369040549. The reversal of 71482369040544 is 44504096328417.

It is not an unprimeable number, because it can be changed into a prime (71482369040549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14990694 + ... + 19175130.

It is an arithmetic number, because the mean of its divisors is an integer number (1218977002656).

It is a 1-persistent number, because it is pandigital, but 2⋅71482369040544 = 142964738081088 is not.

Almost surely, 2^{71482369040544} 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 71482369040544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117021792254976).

71482369040544 is an abundant number, since it is smaller than the sum of its proper divisors (162561215469408).

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

71482369040544 is a wasteful number, since it uses less digits than its factorization.

71482369040544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4186779 (or 4186771 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 71482369040544 in words is "seventy-one trillion, four hundred eighty-two billion, three hundred sixty-nine million, forty thousand, five hundred forty-four".