266224170991104 has 720 divisors, whose sum is σ = 866670925760640. Its totient is φ = 81358135603200.

The previous prime is 266224170991081. The next prime is 266224170991117. The reversal of 266224170991104 is 401199071422662.

266224170991104 is a `hidden beast` number, since 2 + 6 + 6 + 22 + 417 + 0 + 99 + 110 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2271653149 + ... + 2271770339.

It is an arithmetic number, because the mean of its divisors is an integer number (1203709619112).

Almost surely, 2^{266224170991104} is an apocalyptic number.

266224170991104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266224170991104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433335462880320).

266224170991104 is an abundant number, since it is smaller than the sum of its proper divisors (600446754769536).

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

266224170991104 is an equidigital number, since it uses as much as digits as its factorization.

266224170991104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117305 (or 117246 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 266224170991104 in words is "two hundred sixty-six trillion, two hundred twenty-four billion, one hundred seventy million, nine hundred ninety-one thousand, one hundred four".