18941347152 has 800 divisors, whose sum is σ = 72595353600. Its totient is φ = 4629021696.

The previous prime is 18941347123. The next prime is 18941347199. The reversal of 18941347152 is 25174314981.

18941347152 is a `hidden beast` number, since 1 + 89 + 413 + 4 + 7 + 152 = 666.

It is a super-2 number, since 2×18941347152² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18941347098 and 18941347107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 177021883 + ... + 177021989.

It is an arithmetic number, because the mean of its divisors is an integer number (90744192).

Almost surely, 2^18941347152 is an apocalyptic number.

18941347152 is a gapful number since it is divisible by the number (12) 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 18941347152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36297676800).

18941347152 is an abundant number, since it is smaller than the sum of its proper divisors (53654006448).

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

18941347152 is a wasteful number, since it uses less digits than its factorization.

18941347152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 230 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 18941347152 in words is "eighteen billion, nine hundred forty-one million, three hundred forty-seven thousand, one hundred fifty-two".