108821723370624 has 320 divisors, whose sum is σ = 353316280363200. Its totient is φ = 32974083348480.

The previous prime is 108821723370583. The next prime is 108821723370629. The reversal of 108821723370624 is 426073327128801.

It is a happy number.

108821723370624 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 2 + 1 + 7 + 2 + 3 + 3 + 7 + 0 + 624 = 666.

It is a super-2 number, since 2×108821723370624² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (108821723370629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2773285597 + ... + 2773324835.

It is an arithmetic number, because the mean of its divisors is an integer number (1104113376135).

Almost surely, 2^{108821723370624} 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 108821723370624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176658140181600).

108821723370624 is an abundant number, since it is smaller than the sum of its proper divisors (244494556992576).

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

108821723370624 is a wasteful number, since it uses less digits than its factorization.

108821723370624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63593 (or 63572 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 108821723370624 in words is "one hundred eight trillion, eight hundred twenty-one billion, seven hundred twenty-three million, three hundred seventy thousand, six hundred twenty-four".