91455437056 has 81 divisors (see below), whose sum is σ = 187521521299. Its totient is φ = 44515635200.

The previous prime is 91455437023. The next prime is 91455437057. The reversal of 91455437056 is 65073455419.

The square root of 91455437056 is 302416.

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 42277939456 + 49177497600 = 205616^2 + 221760^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (91455437057) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 198384666 + ... + 198385126.

Almost surely, 2^91455437056 is an apocalyptic number.

91455437056 is the 302416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91455437056

91455437056 is an abundant number, since it is smaller than the sum of its proper divisors (96066084243).

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

91455437056 is an frugal number, since it uses more digits than its factorization.

91455437056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 49.

Multiplying 91455437056 by its sum of digits (49), we get a square (4481316415744 = 2116912²).

The spelling of 91455437056 in words is "ninety-one billion, four hundred fifty-five million, four hundred thirty-seven thousand, fifty-six".