71149434552 has 192 divisors, whose sum is σ = 236465049600. Its totient is φ = 18862986240.

The previous prime is 71149434541. The next prime is 71149434557. The reversal of 71149434552 is 25543494117.

71149434552 is a `hidden beast` number, since 7 + 1 + 1 + 4 + 94 + 3 + 4 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 71149434498 and 71149434507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71149434557) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 549849 + ... + 666807.

It is an arithmetic number, because the mean of its divisors is an integer number (1231588800).

Almost surely, 2^71149434552 is an apocalyptic number.

71149434552 is a gapful number since it is divisible by the number (72) 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 71149434552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118232524800).

71149434552 is an abundant number, since it is smaller than the sum of its proper divisors (165315615048).

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

71149434552 is a wasteful number, since it uses less digits than its factorization.

71149434552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117066 (or 117059 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 71149434552 in words is "seventy-one billion, one hundred forty-nine million, four hundred thirty-four thousand, five hundred fifty-two".