108953542656 has 336 divisors, whose sum is σ = 363243351744. Its totient is φ = 30823022592.

The previous prime is 108953542597. The next prime is 108953542699. The reversal of 108953542656 is 656245359801.

108953542656 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 535 + 42 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55221286 + ... + 55223258.

It is an arithmetic number, because the mean of its divisors is an integer number (1081081404).

Almost surely, 2^108953542656 is an apocalyptic number.

108953542656 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 108953542656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181621675872).

108953542656 is an abundant number, since it is smaller than the sum of its proper divisors (254289809088).

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

108953542656 is a wasteful number, since it uses less digits than its factorization.

108953542656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 108953542656 in words is "one hundred eight billion, nine hundred fifty-three million, five hundred forty-two thousand, six hundred fifty-six".