91254292250112 has 800 divisors, whose sum is σ = 293045538007200. Its totient is φ = 28038303166464.

The previous prime is 91254292250071. The next prime is 91254292250117. The reversal of 91254292250112 is 21105229245219.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

91254292250112 is a `hidden beast` number, since 9 + 1 + 2 + 5 + 42 + 92 + 2 + 501 + 12 = 666.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 91254292250112 = 5624³ + 44992³ = 25308³ + 42180³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91254292250117) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2466332222958 + ... + 2466332222994.

It is an arithmetic number, because the mean of its divisors is an integer number (366306922509).

Almost surely, 2^{91254292250112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91254292250112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146522769003600).

91254292250112 is an abundant number, since it is smaller than the sum of its proper divisors (201791245757088).

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

91254292250112 is an frugal number, since it uses more digits than its factorization.

91254292250112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 91254292250112 in words is "ninety-one trillion, two hundred fifty-four billion, two hundred ninety-two million, two hundred fifty thousand, one hundred twelve".