71228401054864 has 135 divisors (see below), whose sum is σ = 141404141327211. Its totient is φ = 34758027532800.

The previous prime is 71228401054843. The next prime is 71228401054907. The reversal of 71228401054864 is 46845010482217.

The square root of 71228401054864 is 8439692.

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

It can be written as a sum of positive squares in 4 ways, for example, as 19149200960400 + 52079200094464 = 4375980^2 + 7216592^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 453684083074 + ... + 453684083230.

Almost surely, 2^{71228401054864} is an apocalyptic number.

71228401054864 is the 8439692-nd square number.

It is an amenable number.

71228401054864 is a deficient number, since it is larger than the sum of its proper divisors (70175740272347).

71228401054864 is an frugal number, since it uses more digits than its factorization.

71228401054864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 52.

The spelling of 71228401054864 in words is "seventy-one trillion, two hundred twenty-eight billion, four hundred one million, fifty-four thousand, eight hundred sixty-four".