71346092221404 has 1152 divisors, whose sum is σ = 256221529482240. Its totient is φ = 16874790912000.

The previous prime is 71346092221399. The next prime is 71346092221433. The reversal of 71346092221404 is 40412229064317.

71346092221404 is a `hidden beast` number, since 7 + 1 + 3 + 4 + 609 + 2 + 22 + 14 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 71346092221404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 25471648804 + ... + 25471651604.

It is an arithmetic number, because the mean of its divisors is an integer number (222414522120).

Almost surely, 2^{71346092221404} 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 71346092221404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128110764741120).

71346092221404 is an abundant number, since it is smaller than the sum of its proper divisors (184875437260836).

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

71346092221404 is a wasteful number, since it uses less digits than its factorization.

71346092221404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 71346092221404 in words is "seventy-one trillion, three hundred forty-six billion, ninety-two million, two hundred twenty-one thousand, four hundred four".