91473615585856 has 189 divisors, whose sum is σ = 212353372301931. Its totient is φ = 38981471606784.

The previous prime is 91473615585841. The next prime is 91473615585887. The reversal of 91473615585856 is 65858551637419.

The square root of 91473615585856 is 9564184.

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 9030121160256 + 82443494425600 = 3005016^2 + 9079840^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 124793472466 + ... + 124793473198.

Almost surely, 2^{91473615585856} is an apocalyptic number.

91473615585856 is the 9564184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91473615585856

91473615585856 is an abundant number, since it is smaller than the sum of its proper divisors (120879756716075).

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

91473615585856 is an frugal number, since it uses more digits than its factorization.

91473615585856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 975 counting only the distinct ones).

The product of its digits is 1088640000, while the sum is 73.

The spelling of 91473615585856 in words is "ninety-one trillion, four hundred seventy-three billion, six hundred fifteen million, five hundred eighty-five thousand, eight hundred fifty-six".