108311143977216 has 288 divisors, whose sum is σ = 320979800977920. Its totient is φ = 36026610149376.

The previous prime is 108311143977193. The next prime is 108311143977221. The reversal of 108311143977216 is 612779341113801.

108311143977216 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 111 + 439 + 77 + 21 + 6 = 666.

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

It is a super-2 number, since 2×108311143977216² (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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7869726751 + ... + 7869740513.

It is an arithmetic number, because the mean of its divisors is an integer number (1114513197840).

Almost surely, 2^{108311143977216} is an apocalyptic number.

108311143977216 is a gapful number since it is divisible by the number (16) 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 108311143977216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160489900488960).

108311143977216 is an abundant number, since it is smaller than the sum of its proper divisors (212668657000704).

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

108311143977216 is a wasteful number, since it uses less digits than its factorization.

108311143977216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16138 (or 16118 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 108311143977216 in words is "one hundred eight trillion, three hundred eleven billion, one hundred forty-three million, nine hundred seventy-seven thousand, two hundred sixteen".