71446953916900 has 81 divisors (see below), whose sum is σ = 160575954110299. Its totient is φ = 27592359645760.

The previous prime is 71446953916867. The next prime is 71446953916903. The reversal of 71446953916900 is 961935964417.

The square root of 71446953916900 is 8452630.

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 982077036004 + 70464876880896 = 990998^2 + 8394336^2 .

It is a super-2 number, since 2×71446953916900² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71446953916903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2451248127 + ... + 2451277273.

Almost surely, 2^{71446953916900} is an apocalyptic number.

71446953916900 is the 8452630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71446953916900

71446953916900 is an abundant number, since it is smaller than the sum of its proper divisors (89129000193399).

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

71446953916900 is an frugal number, since it uses more digits than its factorization.

71446953916900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58366 (or 29183 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 64.

The spelling of 71446953916900 in words is "seventy-one trillion, four hundred forty-six billion, nine hundred fifty-three million, nine hundred sixteen thousand, nine hundred".