18109858175136 has 768 divisors, whose sum is σ = 69215072209920. Its totient is φ = 4470376366080.

The previous prime is 18109858175107. The next prime is 18109858175141. The reversal of 18109858175136 is 63157185890181.

18109858175136 is a `hidden beast` number, since 1 + 8 + 10 + 9 + 8 + 581 + 7 + 5 + 1 + 36 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 241888620 + ... + 241963476.

It is an arithmetic number, because the mean of its divisors is an integer number (90123791940).

Almost surely, 2^{18109858175136} is an apocalyptic number.

18109858175136 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 18109858175136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34607536104960).

18109858175136 is an abundant number, since it is smaller than the sum of its proper divisors (51105214034784).

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

18109858175136 is a wasteful number, since it uses less digits than its factorization.

18109858175136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75094 (or 75080 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 63.

The spelling of 18109858175136 in words is "eighteen trillion, one hundred nine billion, eight hundred fifty-eight million, one hundred seventy-five thousand, one hundred thirty-six".