8141622889968 has 120 divisors (see below), whose sum is σ = 23344206093936. Its totient is φ = 2647315584000.

The previous prime is 8141622889963. The next prime is 8141622889973. The reversal of 8141622889968 is 8699882261418.

8141622889968 is a `hidden beast` number, since 8 + 141 + 62 + 288 + 99 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (8141622889963) and next prime (8141622889973).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 8141622889896 and 8141622889905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8141622889963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44288643 + ... + 44472093.

Almost surely, 2^{8141622889968} 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 8141622889968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11672103046968).

8141622889968 is an abundant number, since it is smaller than the sum of its proper divisors (15202583203968).

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

8141622889968 is a wasteful number, since it uses less digits than its factorization.

8141622889968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191023 (or 191014 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 72.

The spelling of 8141622889968 in words is "eight trillion, one hundred forty-one billion, six hundred twenty-two million, eight hundred eighty-nine thousand, nine hundred sixty-eight".