71459099712 has 1008 divisors, whose sum is σ = 292168356480. Its totient is φ = 16203939840.

The previous prime is 71459099687. The next prime is 71459099713. The reversal of 71459099712 is 21799095417.

It is a tau number, because it is divible by the number of its divisors (1008).

It is not an unprimeable number, because it can be changed into a prime (71459099713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 120504088 + ... + 120504680.

It is an arithmetic number, because the mean of its divisors is an integer number (289849560).

Almost surely, 2^71459099712 is an apocalyptic number.

71459099712 is a gapful number since it is divisible by the number (72) 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 71459099712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146084178240).

71459099712 is an abundant number, since it is smaller than the sum of its proper divisors (220709256768).

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

71459099712 is a wasteful number, since it uses less digits than its factorization.

71459099712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 54.

The spelling of 71459099712 in words is "seventy-one billion, four hundred fifty-nine million, ninety-nine thousand, seven hundred twelve".