91494150400 has 243 divisors, whose sum is σ = 240215791221. Its totient is φ = 34497239040.

The previous prime is 91494150389. The next prime is 91494150413. The reversal of 91494150400 is 405149419.

The square root of 91494150400 is 302480.

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

It can be written as a sum of positive squares in only one way, i.e., 32937894144 + 58556256256 = 181488^2 + 241984^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 91494150400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 459769501 + ... + 459769699.

Almost surely, 2^91494150400 is an apocalyptic number.

91494150400 is the 302480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91494150400

91494150400 is an abundant number, since it is smaller than the sum of its proper divisors (148721640821).

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

91494150400 is an equidigital number, since it uses as much as digits as its factorization.

91494150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

Adding to 91494150400 its reverse (405149419), we get a palindrome (91899299819).

The spelling of 91494150400 in words is "ninety-one billion, four hundred ninety-four million, one hundred fifty thousand, four hundred".