18157374144 has 1008 divisors, whose sum is σ = 71714051136. Its totient is φ = 4335206400.

The previous prime is 18157374143. The next prime is 18157374163. The reversal of 18157374144 is 44147375181.

18157374144 is a `hidden beast` number, since 1 + 8 + 1 + 573 + 74 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-3 number, since 3×18157374144³ (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 18157374144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18157374143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 255737629 + ... + 255737699.

It is an arithmetic number, because the mean of its divisors is an integer number (71144892).

Almost surely, 2^18157374144 is an apocalyptic number.

18157374144 is a gapful number since it is divisible by the number (14) 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 18157374144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35857025568).

18157374144 is an abundant number, since it is smaller than the sum of its proper divisors (53556676992).

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

18157374144 is a wasteful number, since it uses less digits than its factorization.

18157374144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 154 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The spelling of 18157374144 in words is "eighteen billion, one hundred fifty-seven million, three hundred seventy-four thousand, one hundred forty-four".