91170228006144 has 864 divisors, whose sum is σ = 315687481933824. Its totient is φ = 24764974940160.

The previous prime is 91170228006131. The next prime is 91170228006181. The reversal of 91170228006144 is 44160082207119.

91170228006144 is a `hidden beast` number, since 9 + 1 + 1 + 7 + 0 + 2 + 28 + 0 + 0 + 614 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 91170228006144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4667965659 + ... + 4667985189.

It is an arithmetic number, because the mean of its divisors is an integer number (365379030016).

Almost surely, 2^{91170228006144} 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 91170228006144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157843740966912).

91170228006144 is an abundant number, since it is smaller than the sum of its proper divisors (224517253927680).

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

91170228006144 is a wasteful number, since it uses less digits than its factorization.

91170228006144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19783 (or 19766 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 91170228006144 in words is "ninety-one trillion, one hundred seventy billion, two hundred twenty-eight million, six thousand, one hundred forty-four".