109923746815008 has 1152 divisors, whose sum is σ = 393044118405120. Its totient is φ = 28428239831040.

The previous prime is 109923746814943. The next prime is 109923746815019. The reversal of 109923746815008 is 800518647329901.

109923746815008 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 2 + 3 + 7 + 46 + 81 + 500 + 8 = 666.

109923746815008 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×109923746815008² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29088049663 + ... + 29088053441.

It is an arithmetic number, because the mean of its divisors is an integer number (341184130560).

It is a 1-persistent number, because it is pandigital, but 2⋅109923746815008 = 219847493630016 is not.

Almost surely, 2^{109923746815008} is an apocalyptic number.

109923746815008 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 109923746815008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196522059202560).

109923746815008 is an abundant number, since it is smaller than the sum of its proper divisors (283120371590112).

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

109923746815008 is a wasteful number, since it uses less digits than its factorization.

109923746815008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4150 (or 4139 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 109923746815008 in words is "one hundred nine trillion, nine hundred twenty-three billion, seven hundred forty-six million, eight hundred fifteen thousand, eight".