71269969950144 has 588 divisors, whose sum is σ = 250136384804208. Its totient is φ = 20076002150400.

The previous prime is 71269969950121. The next prime is 71269969950161. The reversal of 71269969950144 is 44105996996217.

71269969950144 is a `hidden beast` number, since 7 + 1 + 26 + 9 + 9 + 6 + 99 + 501 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (588).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 162096684 + ... + 162535764.

Almost surely, 2^{71269969950144} 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 71269969950144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125068192402104).

71269969950144 is an abundant number, since it is smaller than the sum of its proper divisors (178866414854064).

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

71269969950144 is an equidigital number, since it uses as much as digits as its factorization.

71269969950144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439196 (or 439164 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 71269969950144 in words is "seventy-one trillion, two hundred sixty-nine billion, nine hundred sixty-nine million, nine hundred fifty thousand, one hundred forty-four".