71854019136 has 441 divisors, whose sum is σ = 230248720731. Its totient is φ = 22233636864.

The previous prime is 71854019131. The next prime is 71854019141. The reversal of 71854019136 is 63191045817.

The square root of 71854019136 is 268056.

It is a perfect power (a square), and thus also a powerful number.

71854019136 is a `hidden beast` number, since 7 + 18 + 540 + 1 + 91 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (71854019131) and next prime (71854019141).

It can be written as a sum of positive squares in 4 ways, for example, as 9073705536 + 62780313600 = 95256^2 + 250560^2 .

It is a junction number, because it is equal to n+sod(n) for n = 71854019091 and 71854019100.

It is not an unprimeable number, because it can be changed into a prime (71854019131) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 984301596 + ... + 984301668.

Almost surely, 2^71854019136 is an apocalyptic number.

71854019136 is the 268056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71854019136

71854019136 is an abundant number, since it is smaller than the sum of its proper divisors (158394701595).

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

71854019136 is an frugal number, since it uses more digits than its factorization.

71854019136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 71854019136 in words is "seventy-one billion, eight hundred fifty-four million, nineteen thousand, one hundred thirty-six".