8726229874944 has 432 divisors, whose sum is σ = 27717348859200. Its totient is φ = 2730330021888.

The previous prime is 8726229874939. The next prime is 8726229874949. The reversal of 8726229874944 is 4494789226278.

8726229874944 is a `hidden beast` number, since 8 + 7 + 26 + 22 + 98 + 7 + 494 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (8726229874939) and next prime (8726229874949).

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×8726229874944² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (8726229874949) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128798902 + ... + 128866634.

Almost surely, 2^{8726229874944} 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 8726229874944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13858674429600).

8726229874944 is an abundant number, since it is smaller than the sum of its proper divisors (18991118984256).

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

8726229874944 is a wasteful number, since it uses less digits than its factorization.

8726229874944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67892 (or 67866 counting only the distinct ones).

The product of its digits is 780337152, while the sum is 72.

The spelling of 8726229874944 in words is "eight trillion, seven hundred twenty-six billion, two hundred twenty-nine million, eight hundred seventy-four thousand, nine hundred forty-four".