108318963695040 has 672 divisors, whose sum is σ = 433532308285440. Its totient is φ = 24311811391488.

The previous prime is 108318963695003. The next prime is 108318963695057. The reversal of 108318963695040 is 40596369813801.

108318963695040 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 1 + 8 + 9 + 63 + 69 + 504 + 0 = 666.

108318963695040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 333909241 + ... + 334233479.

It is an arithmetic number, because the mean of its divisors is an integer number (645137363520).

Almost surely, 2^{108318963695040} is an apocalyptic number.

108318963695040 is a gapful number since it is divisible by the number (10) 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 108318963695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216766154142720).

108318963695040 is an abundant number, since it is smaller than the sum of its proper divisors (325213344590400).

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

108318963695040 is a wasteful number, since it uses less digits than its factorization.

108318963695040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324569 (or 324556 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 108318963695040 in words is "one hundred eight trillion, three hundred eighteen billion, nine hundred sixty-three million, six hundred ninety-five thousand, forty".