71014164480 has 864 divisors, whose sum is σ = 294020737920. Its totient is φ = 16124313600.

The previous prime is 71014164451. The next prime is 71014164499. The reversal of 71014164480 is 8446141017.

71014164480 is a `hidden beast` number, since 7 + 1 + 0 + 1 + 4 + 1 + 644 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 470292405 + ... + 470292555.

It is an arithmetic number, because the mean of its divisors is an integer number (340301780).

Almost surely, 2^71014164480 is an apocalyptic number.

71014164480 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 71014164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147010368960).

71014164480 is an abundant number, since it is smaller than the sum of its proper divisors (223006573440).

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

71014164480 is an frugal number, since it uses more digits than its factorization.

71014164480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 71014164480 in words is "seventy-one billion, fourteen million, one hundred sixty-four thousand, four hundred eighty".