71201149776 has 120 divisors (see below), whose sum is σ = 214135294464. Its totient is φ = 22004167680.

The previous prime is 71201149753. The next prime is 71201149781. The reversal of 71201149776 is 67794110217.

71201149776 is a `hidden beast` number, since 71 + 20 + 1 + 1 + 497 + 76 = 666.

It is a super-3 number, since 3×71201149776³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53040 + ... + 381071.

Almost surely, 2^71201149776 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 71201149776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107067647232).

71201149776 is an abundant number, since it is smaller than the sum of its proper divisors (142934144688).

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

71201149776 is a wasteful number, since it uses less digits than its factorization.

71201149776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434209 (or 434200 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 71201149776 in words is "seventy-one billion, two hundred one million, one hundred forty-nine thousand, seven hundred seventy-six".