18948157200 has 480 divisors, whose sum is σ = 78546758400. Its totient is φ = 4248391680.

The previous prime is 18948157121. The next prime is 18948157201. The reversal of 18948157200 is 275184981.

It is a super-2 number, since 2×18948157200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (18948157201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4004436 + ... + 4009164.

It is an arithmetic number, because the mean of its divisors is an integer number (163639080).

Almost surely, 2^18948157200 is an apocalyptic number.

18948157200 is a gapful number since it is divisible by the number (10) 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 18948157200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39273379200).

18948157200 is an abundant number, since it is smaller than the sum of its proper divisors (59598601200).

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

18948157200 is a wasteful number, since it uses less digits than its factorization.

18948157200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4816 (or 4799 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 18948157200 in words is "eighteen billion, nine hundred forty-eight million, one hundred fifty-seven thousand, two hundred".