108495658656 has 1512 divisors, whose sum is σ = 449853092640. Its totient is φ = 25127055360.

The previous prime is 108495658619. The next prime is 108495658669. The reversal of 108495658656 is 656856594801.

It is a happy number.

108495658656 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 9 + 565 + 8 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a super-4 number, since 4×108495658656⁴ (a number of 45 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 108495658593 and 108495658602.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 5710297815 + ... + 5710297833.

Almost surely, 2^108495658656 is an apocalyptic number.

108495658656 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 108495658656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224926546320).

108495658656 is an abundant number, since it is smaller than the sum of its proper divisors (341357433984).

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

108495658656 is a wasteful number, since it uses less digits than its factorization.

108495658656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 108495658656 in words is "one hundred eight billion, four hundred ninety-five million, six hundred fifty-eight thousand, six hundred fifty-six".