108836578123776 has 336 divisors, whose sum is σ = 325545046444800. Its totient is φ = 34994892570624.

The previous prime is 108836578123771. The next prime is 108836578123829. The reversal of 108836578123776 is 677321875638801.

108836578123776 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 3 + 6 + 578 + 12 + 37 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108836578123771) 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, 2324104330 + ... + 2324151158.

It is an arithmetic number, because the mean of its divisors is an integer number (968884066800).

Almost surely, 2^{108836578123776} is an apocalyptic number.

108836578123776 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 108836578123776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162772523222400).

108836578123776 is an abundant number, since it is smaller than the sum of its proper divisors (216708468321024).

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

108836578123776 is a wasteful number, since it uses less digits than its factorization.

108836578123776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47977 (or 47950 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 108836578123776 in words is "one hundred eight trillion, eight hundred thirty-six billion, five hundred seventy-eight million, one hundred twenty-three thousand, seven hundred seventy-six".