91226255459472 has 360 divisors, whose sum is σ = 308316751554240. Its totient is φ = 24662953198080.

The previous prime is 91226255459459. The next prime is 91226255459473. The reversal of 91226255459472 is 27495455262219.

91226255459472 is a `hidden beast` number, since 9 + 1 + 2 + 2 + 6 + 2 + 554 + 5 + 9 + 4 + 72 = 666.

It is a super-4 number, since 4×91226255459472⁴ (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (91226255459473) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 301511947 + ... + 301814357.

It is an arithmetic number, because the mean of its divisors is an integer number (856435420984).

Almost surely, 2^{91226255459472} 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 91226255459472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154158375777120).

91226255459472 is an abundant number, since it is smaller than the sum of its proper divisors (217090496094768).

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

91226255459472 is a wasteful number, since it uses less digits than its factorization.

91226255459472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303299 (or 303271 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 63.

The spelling of 91226255459472 in words is "ninety-one trillion, two hundred twenty-six billion, two hundred fifty-five million, four hundred fifty-nine thousand, four hundred seventy-two".