71148749760 has 1344 divisors, whose sum is σ = 305087731200. Its totient is φ = 15427584000.

The previous prime is 71148749717. The next prime is 71148749849. The reversal of 71148749760 is 6794784117.

It is a happy number.

71148749760 is a `hidden beast` number, since 7 + 1 + 14 + 87 + 497 + 60 = 666.

It is a super-2 number, since 2×71148749760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 71148749697 and 71148749706.

It is a congruent number.

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, 1735335340 + ... + 1735335380.

It is an arithmetic number, because the mean of its divisors is an integer number (226999800).

Almost surely, 2^71148749760 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 71148749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152543865600).

71148749760 is an abundant number, since it is smaller than the sum of its proper divisors (233938981440).

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

71148749760 is a wasteful number, since it uses less digits than its factorization.

71148749760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 71148749760 in words is "seventy-one billion, one hundred forty-eight million, seven hundred forty-nine thousand, seven hundred sixty".