108467743773312 has 1536 divisors, whose sum is σ = 427033812326400. Its totient is φ = 26323300270080.

The previous prime is 108467743773281. The next prime is 108467743773313. The reversal of 108467743773312 is 213377347764801.

108467743773312 is a `hidden beast` number, since 1 + 0 + 8 + 467 + 74 + 3 + 7 + 73 + 31 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 108467743773312.

It is not an unprimeable number, because it can be changed into a prime (108467743773313) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7012841803 + ... + 7012857269.

It is an arithmetic number, because the mean of its divisors is an integer number (278016804900).

Almost surely, 2^{108467743773312} is an apocalyptic number.

108467743773312 is a gapful number since it is divisible by the number (12) 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 108467743773312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213516906163200).

108467743773312 is an abundant number, since it is smaller than the sum of its proper divisors (318566068553088).

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

108467743773312 is a wasteful number, since it uses less digits than its factorization.

108467743773312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15619 (or 15582 counting only the distinct ones).

The product of its (nonzero) digits is 99574272, while the sum is 63.

The spelling of 108467743773312 in words is "one hundred eight trillion, four hundred sixty-seven billion, seven hundred forty-three million, seven hundred seventy-three thousand, three hundred twelve".