71814188448 has 36 divisors (see below), whose sum is σ = 204221599218. Its totient is φ = 23938062720.

The previous prime is 71814188447. The next prime is 71814188461. The reversal of 71814188448 is 84488141817.

It is a happy number.

71814188448 is a `hidden beast` number, since 7 + 1 + 8 + 14 + 188 + 448 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61529794704 + 10284393744 = 248052^2 + 101412^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×71814188448³ (a number of 34 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 71814188394 and 71814188403.

It is not an unprimeable number, because it can be changed into a prime (71814188443) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 124677123 + ... + 124677698.

Almost surely, 2^71814188448 is an apocalyptic number.

It is an amenable number.

71814188448 is an abundant number, since it is smaller than the sum of its proper divisors (132407410770).

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

71814188448 is a wasteful number, since it uses less digits than its factorization.

71814188448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249354837 (or 249354826 counting only the distinct ones).

The product of its digits is 1835008, while the sum is 54.

The spelling of 71814188448 in words is "seventy-one billion, eight hundred fourteen million, one hundred eighty-eight thousand, four hundred forty-eight".