71103448416 has 864 divisors, whose sum is σ = 263450009088. Its totient is φ = 16588615680.

The previous prime is 71103448321. The next prime is 71103448453. The reversal of 71103448416 is 61484430117.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 411002506 + ... + 411002678.

It is an arithmetic number, because the mean of its divisors is an integer number (304918992).

Almost surely, 2^71103448416 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 71103448416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131725004544).

71103448416 is an abundant number, since it is smaller than the sum of its proper divisors (192346560672).

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

71103448416 is a wasteful number, since it uses less digits than its factorization.

71103448416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 71103448416 in words is "seventy-one billion, one hundred three million, four hundred forty-eight thousand, four hundred sixteen".