8266645744224 has 384 divisors, whose sum is σ = 27089696858112. Its totient is φ = 2153159884800.

The previous prime is 8266645744127. The next prime is 8266645744267. The reversal of 8266645744224 is 4224475466628.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94215574 + ... + 94303274.

It is an arithmetic number, because the mean of its divisors is an integer number (70546085568).

Almost surely, 2^{8266645744224} is an apocalyptic number.

8266645744224 is a gapful number since it is divisible by the number (84) 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 8266645744224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13544848429056).

8266645744224 is an abundant number, since it is smaller than the sum of its proper divisors (18823051113888).

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

8266645744224 is a wasteful number, since it uses less digits than its factorization.

8266645744224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87998 (or 87990 counting only the distinct ones).

The product of its digits is 123863040, while the sum is 60.

The spelling of 8266645744224 in words is "eight trillion, two hundred sixty-six billion, six hundred forty-five million, seven hundred forty-four thousand, two hundred twenty-four".