71406623659536 has 405 divisors, whose sum is σ = 228191194899759. Its totient is φ = 21629244542400.

The previous prime is 71406623659531. The next prime is 71406623659583. The reversal of 71406623659536 is 63595632660417.

The square root of 71406623659536 is 8450244.

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

71406623659536 is a `hidden beast` number, since 7 + 1 + 4 + 0 + 6 + 6 + 2 + 3 + 6 + 595 + 36 = 666.

It is not an unprimeable number, because it can be changed into a prime (71406623659531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 30116668431 + ... + 30116670801.

Almost surely, 2^{71406623659536} is an apocalyptic number.

71406623659536 is the 8450244-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71406623659536

71406623659536 is an abundant number, since it is smaller than the sum of its proper divisors (156784571240223).

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

71406623659536 is an frugal number, since it uses more digits than its factorization.

71406623659536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4796 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 63.

The spelling of 71406623659536 in words is "seventy-one trillion, four hundred six billion, six hundred twenty-three million, six hundred fifty-nine thousand, five hundred thirty-six".