71114148000 has 1152 divisors, whose sum is σ = 307614827520. Its totient is φ = 15211929600.

The previous prime is 71114147987. The next prime is 71114148023. The reversal of 71114148000 is 84141117.

71114148000 is a `hidden beast` number, since 71 + 114 + 1 + 480 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 270395869 + ... + 270396131.

It is an arithmetic number, because the mean of its divisors is an integer number (267026760).

Almost surely, 2^71114148000 is an apocalyptic number.

71114148000 is a gapful number since it is divisible by the number (70) 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 71114148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153807413760).

71114148000 is an abundant number, since it is smaller than the sum of its proper divisors (236500679520).

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

71114148000 is a wasteful number, since it uses less digits than its factorization.

71114148000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

Adding to 71114148000 its reverse (84141117), we get a palindrome (71198289117).

The spelling of 71114148000 in words is "seventy-one billion, one hundred fourteen million, one hundred forty-eight thousand".