109946229239808 has 624 divisors, whose sum is σ = 351763731644416. Its totient is φ = 32867800842240.

The previous prime is 109946229239773. The next prime is 109946229239837. The reversal of 109946229239808 is 808932922649901.

109946229239808 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 4 + 6 + 229 + 2 + 398 + 0 + 8 = 666.

109946229239808 is digitally balanced in base 3, 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 (624).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13422804993 + ... + 13422813183.

Almost surely, 2^{109946229239808} is an apocalyptic number.

109946229239808 is a gapful number since it is divisible by the number (18) 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 109946229239808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175881865822208).

109946229239808 is an abundant number, since it is smaller than the sum of its proper divisors (241817502404608).

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

109946229239808 is a wasteful number, since it uses less digits than its factorization.

109946229239808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9028 (or 9003 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

The spelling of 109946229239808 in words is "one hundred nine trillion, nine hundred forty-six billion, two hundred twenty-nine million, two hundred thirty-nine thousand, eight hundred eight".