91418801897124 has 243 divisors, whose sum is σ = 257253065717193. Its totient is φ = 27360361626624.

The previous prime is 91418801897113. The next prime is 91418801897131. The reversal of 91418801897124 is 42179810881419.

The square root of 91418801897124 is 9561318.

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

91418801897124 is a `hidden beast` number, since 9 + 1 + 418 + 8 + 0 + 1 + 8 + 97 + 124 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 4137766222500 + 87281035674624 = 2034150^2 + 9342432^2 .

It is a super-2 number, since 2×91418801897124² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 27593962092 + ... + 27593965404.

Almost surely, 2^{91418801897124} is an apocalyptic number.

91418801897124 is the 9561318-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91418801897124

91418801897124 is an abundant number, since it is smaller than the sum of its proper divisors (165834263820069).

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

91418801897124 is a wasteful number, since it uses less digits than its factorization.

91418801897124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6736 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 63.

The spelling of 91418801897124 in words is "ninety-one trillion, four hundred eighteen billion, eight hundred one million, eight hundred ninety-seven thousand, one hundred twenty-four".