108944254089216 has 288 divisors, whose sum is σ = 387262784170080. Its totient is φ = 28732550086656.

The previous prime is 108944254089197. The next prime is 108944254089217. The reversal of 108944254089216 is 612980452449801.

It is a happy number.

108944254089216 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 4 + 4 + 2 + 5 + 408 + 9 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108944254089217) 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, 30798535 + ... + 34153158.

It is an arithmetic number, because the mean of its divisors is an integer number (1344662445035).

Almost surely, 2^{108944254089216} is an apocalyptic number.

108944254089216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

108944254089216 is an abundant number, since it is smaller than the sum of its proper divisors (278318530080864).

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

108944254089216 is a wasteful number, since it uses less digits than its factorization.

108944254089216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64951741 (or 64951718 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 108944254089216 in words is "one hundred eight trillion, nine hundred forty-four billion, two hundred fifty-four million, eighty-nine thousand, two hundred sixteen".