74159110144 has 192 divisors, whose sum is σ = 174604248000. Its totient is φ = 30828134400.

The previous prime is 74159110141. The next prime is 74159110169. The reversal of 74159110144 is 44101195147.

It is a super-3 number, since 3×74159110144³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74159110141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165164832 + ... + 165165280.

It is an arithmetic number, because the mean of its divisors is an integer number (909397125).

Almost surely, 2^74159110144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74159110144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87302124000).

74159110144 is an abundant number, since it is smaller than the sum of its proper divisors (100445137856).

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

74159110144 is a wasteful number, since it uses less digits than its factorization.

74159110144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 37.

The spelling of 74159110144 in words is "seventy-four billion, one hundred fifty-nine million, one hundred ten thousand, one hundred forty-four".