71400877609216 has 81 divisors (see below), whose sum is σ = 147615000542373. Its totient is φ = 34467496412160.

The previous prime is 71400877609177. The next prime is 71400877609223. The reversal of 71400877609216 is 61290677800417.

It is a happy number.

The square root of 71400877609216 is 8449904.

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

71400877609216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 37440888258816 + 33959989350400 = 6118896^2 + 5827520^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3920746351 + ... + 3920764561.

Almost surely, 2^{71400877609216} is an apocalyptic number.

71400877609216 is the 8449904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71400877609216

71400877609216 is an abundant number, since it is smaller than the sum of its proper divisors (76214122933157).

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

71400877609216 is an frugal number, since it uses more digits than its factorization.

71400877609216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36496 (or 18242 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 58.

The spelling of 71400877609216 in words is "seventy-one trillion, four hundred billion, eight hundred seventy-seven million, six hundred nine thousand, two hundred sixteen".